conversations listlengths 4 10 | language stringclasses 12
values |
|---|---|
[
{
"role": "user",
"content": "Bună ziua! Am o problemă cu un triunghi. Cum aflu aria dacă știu laturile?"
},
{
"role": "assistant",
"content": "Bună ziua! Poți folosi formula lui Heron. Este un pic mai complexă, dar o pot explica. Ai nevoie de semiperimetru (s) și de lungimile laturilor (a, b, c... | ur |
[
{
"role": "user",
"content": "Salut! Am o problemă cu un cerc. Cum aflu aria dacă știu circumferința?"
},
{
"role": "assistant",
"content": "Salut! Poți afla raza din circumferință (C = 2πr), apoi folosești raza pentru a calcula aria (A = πr²)."
},
{
"role": "user",
"content": "Circu... | ur |
[
{
"role": "user",
"content": "Bună! Am o problemă cu un triunghi. Cum aflu unghiurile dacă știu laturile?"
},
{
"role": "assistant",
"content": "Bună! Poți folosi legea cosinusului. Pentru un unghi A, cos(A) = (b² + c² - a²) / (2bc), unde a, b, c sunt laturile."
},
{
"role": "user",
... | ur |
[
{
"role": "user",
"content": "Salut! Am o problemă cu un paralelogram. Cum aflu aria dacă știu laturile și un unghi?"
},
{
"role": "assistant",
"content": "Salut! Poți folosi formula: aria = latura1 * latura2 * sin(unghiul). Ai nevoie de lungimile a două laturi adiacente și de unghiul dintre ele... | ur |
[
{
"role": "user",
"content": "ਮੈਨੂੰ ਇੱਕ ਗੋਲੇ ਦਾ ਖੇਤਰਫਲ ਪਤਾ ਕਰਨਾ ਹੈ ਜਿਸਦਾ ਖੇਤਰਫਲ 5544 ਵਰਗ ਮੀਟਰ ਹੈ। ਕੀ ਤੁਸੀਂ ਮੇਰੀ ਮਦਦ ਕਰ ਸਕਦੇ ਹੋ?"
},
{
"role": "assistant",
"content": "ਹਾਂ, ਬਿਲਕੁਲ। ਗੋਲੇ ਦਾ ਖੇਤਰਫਲ 4πr² ਹੁੰਦਾ ਹੈ। ਜੇਕਰ ਖੇਤਰਫਲ 5544 ਵਰਗ ਮੀਟਰ ਹੈ, ਤਾਂ ਅਸੀਂ ਅਰਧ ਵਿਆਸ (r) ਪਤਾ ਕਰ ਸਕਦੇ ਹਾਂ। ਕੀ ਮੈਂ ਤੁਹਾਡੀ ਮਦਦ... | ur |
[
{
"role": "user",
"content": "ਮੈਨੂੰ ਇੱਕ ਸ਼ੰਕੂ ਦੇ ਵਾਲੀਅਮ ਦੀ ਗਣਨਾ ਕਰਨ ਵਿੱਚ ਮਦਦ ਦੀ ਲੋੜ ਹੈ। ਮੇਰੇ ਕੋਲ ਅਰਧ ਵਿਆਸ 4 ਸੈਂਟੀਮੀਟਰ ਅਤੇ ਤਿਰਛੀ ਉਚਾਈ 12 ਸੈਂਟੀਮੀਟਰ ਹੈ।"
},
{
"role": "assistant",
"content": "ਠੀਕ ਹੈ। ਸ਼ੰਕੂ ਦਾ ਵਾਲੀਅਮ ਪਤਾ ਕਰਨ ਲਈ, ਸਾਨੂੰ ਪਹਿਲਾਂ ਉਚਾਈ (h) ਪਤਾ ਕਰਨੀ ਪਵੇਗੀ। ਤੁਸੀਂ ਪਾਈਥਾਗੋਰਸ ਥਿਊਰਮ ਦੀ ਵਰਤੋਂ ਕਰ... | ur |
[
{
"role": "user",
"content": "ਮੇਰੇ ਕੋਲ ਇੱਕ ਗੋਲਾ ਹੈ ਜਿਸਦਾ ਖੇਤਰਫਲ 616 ਵਰਗ ਸੈਂਟੀਮੀਟਰ ਹੈ। ਮੈਂ ਇਸਦਾ ਅਰਧ ਵਿਆਸ ਜਾਣਨਾ ਚਾਹੁੰਦਾ ਹਾਂ।"
},
{
"role": "assistant",
"content": "ਗੋਲੇ ਦਾ ਖੇਤਰਫਲ 4πr² ਹੁੰਦਾ ਹੈ। ਜੇਕਰ ਖੇਤਰਫਲ 616 ਹੈ, ਤਾਂ ਤੁਸੀਂ r² = 616 / (4π) ਦੀ ਵਰਤੋਂ ਕਰ ਸਕਦੇ ਹੋ।"
},
{
"role": "user",
"co... | ur |
[
{
"role": "user",
"content": "ਮੇਰੇ ਕੋਲ ਇੱਕ ਘਣ ਹੈ ਜਿਸਦਾ ਸਤਹ ਖੇਤਰਫਲ 1944 ਵਰਗ ਸੈਂਟੀਮੀਟਰ ਹੈ। ਮੈਂ ਇਸਦਾ ਵਾਲੀਅਮ ਜਾਣਨਾ ਚਾਹੁੰਦਾ ਹਾਂ।"
},
{
"role": "assistant",
"content": "ਘਣ ਦਾ ਸਤਹ ਖੇਤਰਫਲ 6a² ਹੁੰਦਾ ਹੈ, ਜਿੱਥੇ 'a' ਇੱਕ ਕਿਨਾਰੇ ਦੀ ਲੰਬਾਈ ਹੈ। ਇਸ ਲਈ, ਪਹਿਲਾਂ 'a' ਲੱਭੋ।"
},
{
"role": "user",
"content":... | ur |
[
{
"role": "user",
"content": "ਮੇਰੇ ਕੋਲ ਇੱਕ ਸਿਲੰਡਰ ਹੈ ਜਿਸਦਾ ਵਿਆਸ 14 ਮੀਟਰ ਹੈ ਅਤੇ ਵਾਲੀਅਮ 110 ਘਣ ਮੀਟਰ ਹੈ। ਮੈਂ ਇਸਦੀ ਉਚਾਈ ਜਾਣਨਾ ਚਾਹੁੰਦਾ ਹਾਂ।"
},
{
"role": "assistant",
"content": "ਸਿਲੰਡਰ ਦਾ ਵਾਲੀਅਮ πr²h ਹੁੰਦਾ ਹੈ। ਤੁਹਾਨੂੰ ਵਿਆਸ ਦਿੱਤਾ ਗਿਆ ਹੈ, ਇਸ ਲਈ ਤੁਸੀਂ ਅਰਧ ਵਿਆਸ ਲੱਭ ਸਕਦੇ ਹੋ।"
},
{
"role": "user",... | ur |
[
{
"role": "user",
"content": "ਮੇਰੇ ਕੋਲ ਇੱਕ ਸ਼ੰਕੂ ਹੈ ਜਿਸਦਾ ਅਰਧ ਵਿਆਸ 21 ਸੈਂਟੀਮੀਟਰ ਅਤੇ ਉਚਾਈ 28 ਸੈਂਟੀਮੀਟਰ ਹੈ। ਮੈਂ ਤਿਰਛੀ ਉਚਾਈ ਜਾਣਨਾ ਚਾਹੁੰਦਾ ਹਾਂ।"
},
{
"role": "assistant",
"content": "ਤਿਰਛੀ ਉਚਾਈ (l) = √(r² + h²) ਦੀ ਵਰਤੋਂ ਕਰਕੇ ਲੱਭੀ ਜਾ ਸਕਦੀ ਹੈ।"
},
{
"role": "user",
"content": "ਕੀ ਤੁਸੀਂ ਮੈਨ... | ur |
[
{
"role": "user",
"content": "ਮੈਂ ਇੱਕ ਸ਼ੰਕੂ ਆਕਾਰ ਦਾ ਤੰਬੂ ਬਣਾਉਣਾ ਚਾਹੁੰਦਾ ਹਾਂ ਜਿਸਦੀ ਉਚਾਈ 6 ਮੀਟਰ ਅਤੇ ਅਧਾਰ ਦਾ ਵਿਆਸ 8 ਮੀਟਰ ਹੈ। ਇਸਨੂੰ ਬਣਾਉਣ ਲਈ ਕਿੰਨਾ ਕੈਨਵਸ ਚਾਹੀਦਾ ਹੈ?"
},
{
"role": "assistant",
"content": "ਤੁਹਾਨੂੰ ਪਹਿਲਾਂ ਤਿਰਛੀ ਉਚਾਈ (l) ਲੱਭਣੀ ਪਵੇਗੀ, ਫਿਰ ਤੁਸੀਂ ਕੈਨਵਸ ਦਾ ਖੇਤਰਫਲ ਪਤਾ ਕਰ ਸਕਦੇ ਹੋ।"
},
{
... | ur |
[
{
"role": "user",
"content": "ਮੇਰੇ ਕੋਲ 20 ਸੈਂਟੀਮੀਟਰ ਵਿਆਸ ਵਾਲਾ ਇੱਕ ਗੋਲਾ ਹੈ। ਮੈਂ ਇਹ ਜਾਣਨਾ ਚਾਹੁੰਦਾ ਹਾਂ ਕਿ ਇਸ ਵਿੱਚੋਂ 2 ਸੈਂਟੀਮੀਟਰ ਵਿਆਸ ਵਾਲੀਆਂ ਕਿੰਨੀਆਂ ਗੇਂਦਾਂ ਬਣਾਈਆਂ ਜਾ ਸਕਦੀਆਂ ਹਨ।"
},
{
"role": "assistant",
"content": "ਤੁਹਾਨੂੰ ਪਹਿਲਾਂ ਦੋਵਾਂ ਗੋਲਿਆਂ ਦਾ ਵਾਲੀਅਮ ਪਤਾ ਕਰਨਾ ਪਵੇਗਾ।"
},
{
"role": "user",
... | ur |
[
{
"role": "user",
"content": "ਮੇਰੇ ਕੋਲ ਇੱਕ ਘਣਾਕਾਰ ਕਮਰਾ ਹੈ। ਮੈਂ ਇਸਨੂੰ ਪੇਂਟ ਕਰਨਾ ਚਾਹੁੰਦਾ ਹਾਂ। ਮੈਨੂੰ ਪੇਂਟ ਦੀ ਲਾਗਤ ਪਤਾ ਕਰਨ ਵਿੱਚ ਮਦਦ ਕਰੋ।"
},
{
"role": "assistant",
"content": "ਕੀ ਤੁਹਾਡੇ ਕੋਲ ਕਮਰੇ ਦੇ ਮਾਪ ਹਨ?"
},
{
"role": "user",
"content": "ਨਹੀਂ, ਪਰ ਮੈਨੂੰ ਪਤਾ ਹੈ ਕਿ ਲੰਬਾਈ, ਚੌੜਾਈ ਅਤੇ ਉਚਾਈ ਦ... | ur |
[
{
"role": "user",
"content": "ਇੱਕ ਸ਼ੰਕੂ ਦੀ ਉਚਾਈ h ਹੈ। ਇਸਨੂੰ ਅਧਾਰ ਤੋਂ h/3 ਦੂਰੀ 'ਤੇ ਇੱਕ ਸਮਾਨਤਰ ਪਲੇਨ ਦੁਆਰਾ ਕੱਟਿਆ ਜਾਂਦਾ ਹੈ। ਨਤੀਜੇ ਵਜੋਂ ਸ਼ੰਕੂ ਅਤੇ ਫਰਸਟਮ ਦੇ ਵਾਲੀਅਮ ਦਾ ਅਨੁਪਾਤ ਕੀ ਹੈ?"
},
{
"role": "assistant",
"content": "ਇਸ ਸਮੱਸਿਆ ਨੂੰ ਹੱਲ ਕਰਨ ਲਈ, ਤੁਹਾਨੂੰ ਸਮਾਨ ਤਿਕੋਣਾਂ ਦੇ ਸਿਧਾਂਤ ਦੀ ਵਰਤੋਂ ਕਰਨੀ ਪਵੇਗੀ।"
},... | ur |
[
{
"role": "user",
"content": "ਮੇਰੇ ਕੋਲ ਤਿੰਨ ਸਿਲੰਡਰ ਹਨ ਜੋ ਇੱਕ ਦੂਜੇ ਨੂੰ ਛੂਹ ਰਹੇ ਹਨ। ਉਹਨਾਂ ਦੇ ਵਿਚਕਾਰ ਘਿਰੇ ਖੇਤਰ ਦਾ ਵਾਲੀਅਮ ਕੀ ਹੈ?"
},
{
"role": "assistant",
"content": "ਕੀ ਤੁਹਾਡੇ ਕੋਲ ਸਿਲੰਡਰਾਂ ਦਾ ਅਰਧ ਵਿਆਸ ਅਤੇ ਉਚਾਈ ਹੈ?"
},
{
"role": "user",
"content": "ਹਾਂ, ਹਰੇਕ ਦੀ ਉਚਾਈ 16 ਸੈਂਟੀਮੀਟਰ ਅਤੇ ਅਰਧ... | ur |
[
{
"role": "user",
"content": "ਮੈਨੂੰ ਇੱਕ ਗੋਲੇ ਦਾ ਵਾਲੀਅਮ ਪਤਾ ਕਰਨਾ ਹੈ ਜਿਸਦਾ ਅਰਧ ਵਿਆਸ 7 ਸੈਂਟੀਮੀਟਰ ਹੈ।"
},
{
"role": "assistant",
"content": "ਗੋਲੇ ਦਾ ਵਾਲੀਅਮ 4/3πr³ ਹੁੰਦਾ ਹੈ। ਇਸ ਲਈ, ਤੁਹਾਨੂੰ ਸਿਰਫ਼ ਅਰਧ ਵਿਆਸ (r) ਨੂੰ ਇਸ ਫਾਰਮੂਲੇ ਵਿੱਚ ਪਾਉਣਾ ਹੈ।"
},
{
"role": "user",
"content": "ਕੀ ਤੁਸੀਂ ਮੈਨੂੰ ਗਣ... | ur |
[
{
"role": "user",
"content": "ਮੇਰੇ ਕੋਲ ਇੱਕ ਘਣ ਹੈ ਜਿਸਦਾ ਕਿਨਾਰਾ 10 ਸੈਂਟੀਮੀਟਰ ਹੈ। ਮੈਂ ਇਸਦਾ ਕੁੱਲ ਸਤਹ ਖੇਤਰਫਲ ਜਾਣਨਾ ਚਾਹੁੰਦਾ ਹਾਂ।"
},
{
"role": "assistant",
"content": "ਘਣ ਦਾ ਕੁੱਲ ਸਤਹ ਖੇਤਰਫਲ 6a² ਹੁੰਦਾ ਹੈ, ਜਿੱਥੇ 'a' ਕਿਨਾਰੇ ਦੀ ਲੰਬਾਈ ਹੈ।"
},
{
"role": "user",
"content": "ਇਸ ਲਈ, ਮੈਨੂੰ ਕੀ ਕਰਨਾ ਚ... | ur |
[
{
"role": "user",
"content": "ਦੋ ਘਣ ਹਨ, ਹਰੇਕ ਦਾ ਕਿਨਾਰਾ 12 ਸੈਂਟੀਮੀਟਰ ਹੈ। ਉਹਨਾਂ ਨੂੰ ਸਿਰੇ ਤੋਂ ਸਿਰਾ ਜੋੜਿਆ ਜਾਂਦਾ ਹੈ। ਨਤੀਜੇ ਵਜੋਂ ਘਣਾਕਾਰ ਦਾ ਵਾਲੀਅਮ ਕੀ ਹੈ?"
},
{
"role": "assistant",
"content": "ਜਦੋਂ ਤੁਸੀਂ ਦੋ ਘਣਾਂ ਨੂੰ ਜੋੜਦੇ ਹੋ, ਤਾਂ ਤੁਹਾਨੂੰ ਇੱਕ ਘਣਾਕਾਰ ਮਿਲਦਾ ਹੈ। ਇਸਦੀ ਲੰਬਾਈ 24 ਸੈਂਟੀਮੀਟਰ, ਚੌੜਾਈ 12 ਸੈਂਟੀਮੀਟਰ ... | ur |
[
{
"role": "user",
"content": "ਜੇਕਰ ਇੱਕ ਘਣ ਦੇ ਕਿਨਾਰੇ ਨੂੰ 50% ਵਧਾਇਆ ਜਾਂਦਾ ਹੈ, ਤਾਂ ਇਸਦੇ ਸਤਹ ਖੇਤਰਫਲ ਵਿੱਚ ਪ੍ਰਤੀਸ਼ਤ ਵਾਧਾ ਕੀ ਹੋਵੇਗਾ?"
},
{
"role": "assistant",
"content": "ਮੰਨ ਲਓ ਕਿ ਮੂਲ ਕਿਨਾਰਾ 'a' ਹੈ। ਨਵਾਂ ਕਿਨਾਰਾ 1.5a ਹੋਵੇਗਾ।"
},
{
"role": "user",
"content": "ਅਤੇ ਫਿਰ?"
},
{
"role": ... | ur |
[
{
"role": "user",
"content": "ਇੱਕ ਸਿਲੰਡਰ ਦਾ ਅਧਾਰ 14 ਮੀਟਰ ਵਿਆਸ ਦਾ ਹੈ ਅਤੇ ਇਸਦਾ ਵਾਲੀਅਮ 110 ਘਣ ਮੀਟਰ ਹੈ। ਸਿਲੰਡਰ ਦੀ ਉਚਾਈ ਪਤਾ ਕਰੋ।"
},
{
"role": "assistant",
"content": "ਸਿਲੰਡਰ ਦਾ ਵਾਲੀਅਮ πr²h ਹੁੰਦਾ ਹੈ। ਤੁਹਾਨੂੰ ਵਿਆਸ ਦਿੱਤਾ ਗਿਆ ਹੈ, ਇਸ ਲਈ ਤੁਸੀਂ ਅਰਧ ਵਿਆਸ ਲੱਭ ਸਕਦੇ ਹੋ।"
},
{
"role": "user",
"conte... | ur |
[
{
"role": "user",
"content": "ਇੱਕ ਸ਼ੰਕੂ ਦਾ ਅਧਾਰ 21 ਸੈਂਟੀਮੀਟਰ ਹੈ ਅਤੇ ਉਚਾਈ 28 ਸੈਂਟੀਮੀਟਰ ਹੈ। ਤਿਰਛੀ ਉਚਾਈ ਪਤਾ ਕਰੋ।"
},
{
"role": "assistant",
"content": "ਤਿਰਛੀ ਉਚਾਈ (l) = √(r² + h²) ਦੀ ਵਰਤੋਂ ਕਰਕੇ ਲੱਭੀ ਜਾ ਸਕਦੀ ਹੈ।"
},
{
"role": "user",
"content": "ਕੀ ਤੁਸੀਂ ਮੈਨੂੰ ਇਸਦੀ ਗਣਨਾ ਕਰਨ ਵਿੱਚ ਮਦਦ ਕਰ ਸ... | ur |
[
{
"role": "user",
"content": "ਇੱਕ ਸ਼ੰਕੂ ਆਕਾਰ ਦਾ ਤੰਬੂ ਬਣਾਉਣ ਲਈ ਕਿੰਨਾ ਕੈਨਵਸ ਚਾਹੀਦਾ ਹੈ ਜਿਸਦੀ ਉਚਾਈ 6 ਮੀਟਰ ਅਤੇ ਅਧਾਰ ਦਾ ਵਿਆਸ 8 ਮੀਟਰ ਹੈ?"
},
{
"role": "assistant",
"content": "ਤੁਹਾਨੂੰ ਪਹਿਲਾਂ ਤਿਰਛੀ ਉਚਾਈ (l) ਲੱਭਣੀ ਪਵੇਗੀ, ਫਿਰ ਤੁਸੀਂ ਕੈਨਵਸ ਦਾ ਖੇਤਰਫਲ ਪਤਾ ਕਰ ਸਕਦੇ ਹੋ।"
},
{
"role": "user",
"content... | ur |
[
{
"role": "user",
"content": "ਇੱਕ ਗੋਲੇ ਵਿੱਚੋਂ 2 ਸੈਂਟੀਮੀਟਰ ਵਿਆਸ ਵਾਲੀਆਂ ਕਿੰਨੀਆਂ ਗੇਂਦਾਂ ਬਣਾਈਆਂ ਜਾ ਸਕਦੀਆਂ ਹਨ ਜਿਸਦਾ ਵਿਆਸ 20 ਸੈਂਟੀਮੀਟਰ ਹੈ?"
},
{
"role": "assistant",
"content": "ਤੁਹਾਨੂੰ ਪਹਿਲਾਂ ਦੋਵਾਂ ਗੋਲਿਆਂ ਦਾ ਵਾਲੀਅਮ ਪਤਾ ਕਰਨਾ ਪਵੇਗਾ।"
},
{
"role": "user",
"content": "ਕਿਵੇਂ?"
},
{
"ro... | ur |
[
{
"role": "user",
"content": "ਇੱਕ ਘਣ ਦਾ ਸਤਹ ਖੇਤਰਫਲ 1944 ਵਰਗ ਸੈਂਟੀਮੀਟਰ ਹੈ। ਇਸਦਾ ਵਾਲੀਅਮ ਪਤਾ ਕਰੋ।"
},
{
"role": "assistant",
"content": "ਘਣ ਦਾ ਸਤਹ ਖੇਤਰਫਲ 6a² ਹੁੰਦਾ ਹੈ, ਜਿੱਥੇ 'a' ਕਿਨਾਰੇ ਦੀ ਲੰਬਾਈ ਹੈ। ਇਸ ਲਈ, ਪਹਿਲਾਂ 'a' ਲੱਭੋ।"
},
{
"role": "user",
"content": "ਕਿਵੇਂ?"
},
{
"role": "a... | ur |
[
{
"role": "user",
"content": "Ahoj! Mám nejaké poznámky o geometrii, mohol by si mi s tým pomôcť?"
},
{
"role": "assistant",
"content": "Ahoj! Jasné, rád ti pomôžem. O čom presne máš poznámky? Aká je téma?"
},
{
"role": "user",
"content": "No, mám tu o bodoch, priamkach a rovinách. J... | ur |
[
{
"role": "user",
"content": "Ahoj, potrebujem pomoc s úlohou z geometrie. Mám problém s výpočtom uhlov."
},
{
"role": "assistant",
"content": "Ahoj! Rád ti pomôžem. Akú úlohu máš? Popíš mi ju."
},
{
"role": "user",
"content": "Mám trojuholník, kde jeden uhol je 57 stupňov. Potrebuje... | ur |
[
{
"role": "user",
"content": "Ahoj, mám problém s úlohou, kde mám určiť typy uhlov."
},
{
"role": "assistant",
"content": "Ahoj! Rád ti pomôžem. Aké uhly máš určiť?"
},
{
"role": "user",
"content": "Mám uhly: 37°, 49°, 138°, 90°, 180°, 89°, 91°, 112°, 45°, 235°. Ako ich mám rozdeliť?... | ur |
[
{
"role": "user",
"content": "Ahoj, potrebujem pomoc s úlohou o rovnobežkách a priečkach."
},
{
"role": "assistant",
"content": "Ahoj! Jasné, rád ti pomôžem. Aká je úloha?"
},
{
"role": "user",
"content": "Mám dve rovnobežné priamky, ktoré pretína priečka. Jeden uhol je 3x + 50°, dru... | ur |
[
{
"role": "user",
"content": "Ahoj, potrebujem pomoc s úlohou o trojuholníkoch."
},
{
"role": "assistant",
"content": "Ahoj! Rád ti pomôžem. Aká je úloha?"
},
{
"role": "user",
"content": "Mám trojuholník so stranami 2.22 m, 2.46 m a 1.90 m. Potrebujem vypočítať jeho obsah."
},
{... | ur |
[
{
"role": "user",
"content": "Ahoj, potrebujem pomoc s úlohou o obvode a obsahu trojuholníkov."
},
{
"role": "assistant",
"content": "Ahoj! Rád ti pomôžem. Aké trojuholníky máš?"
},
{
"role": "user",
"content": "Mám dva trojuholníky. Prvý má strany 3 cm, 4 cm a 5 cm. Druhý má strany ... | ur |
[
{
"role": "user",
"content": "Ahoj, potrebujem pomoc s úlohou o pravouhlých trojuholníkoch."
},
{
"role": "assistant",
"content": "Ahoj! Rád ti pomôžem. Aká je úloha?"
},
{
"role": "user",
"content": "Mám pravouhlý trojuholník s odvesnami 12 a 5. Potrebujem vypočítať dĺžku prepony."
... | ur |
[
{
"role": "user",
"content": "Ahoj, potrebujem overiť, či je trojuholník s dĺžkami strán 15, 8 a 17 pravouhlý."
},
{
"role": "assistant",
"content": "Ahoj! Použiješ Pytagorovu vetu: a² + b² = c². Ak platí, tak je to pravouhlý trojuholník."
},
{
"role": "user",
"content": "Takže 15² +... | ur |
[
{
"role": "user",
"content": "Ahoj, potrebujem pomoc s úlohou o vlastnostiach trojuholníkov."
},
{
"role": "assistant",
"content": "Ahoj! Rád ti pomôžem. Aké vlastnosti potrebuješ?"
},
{
"role": "user",
"content": "Potrebujem vedieť, aký je súčet vnútorných uhlov trojuholníka."
},
... | ur |
[
{
"role": "user",
"content": "Ahoj, potrebujem pomoc s úlohou o podobnosti trojuholníkov."
},
{
"role": "assistant",
"content": "Ahoj! Rád ti pomôžem. Aká je úloha?"
},
{
"role": "user",
"content": "Potrebujem vedieť, aký je pomer strán podobných trojuholníkov."
},
{
"role": ... | ur |
[
{
"role": "user",
"content": "Ahoj, potrebujem pomoc s úlohou o definícii polygónu."
},
{
"role": "assistant",
"content": "Ahoj! Rád ti pomôžem. Čo potrebuješ vedieť o polygónoch?"
},
{
"role": "user",
"content": "Čo je to vlastne polygón?"
},
{
"role": "assistant",
"cont... | ur |
[
{
"role": "user",
"content": "Ahoj, potrebujem pomoc s úlohou o konvexných polygónoch."
},
{
"role": "assistant",
"content": "Ahoj! Rád ti pomôžem. Čo potrebuješ vedieť o konvexných polygónoch?"
},
{
"role": "user",
"content": "Čo je to konvexný polygón?"
},
{
"role": "assist... | ur |
[
{
"role": "user",
"content": "Ahoj, potrebujem pomoc s úlohou o zhodných a podobných polygónoch."
},
{
"role": "assistant",
"content": "Ahoj! Rád ti pomôžem. Aká je úloha?"
},
{
"role": "user",
"content": "Aký je rozdiel medzi zhodnými a podobnými polygónmi?"
},
{
"role": "as... | ur |
[
{
"role": "user",
"content": "Ahoj, potrebujem pomoc s úlohou o klasifikácii trojuholníkov."
},
{
"role": "assistant",
"content": "Ahoj! Rád ti pomôžem. Ako môžeme klasifikovať trojuholníky?"
},
{
"role": "user",
"content": "Ako sa trojuholníky klasifikujú podľa strán?"
},
{
... | ur |
[
{
"role": "user",
"content": "Ahoj, potrebujem pomoc s úlohou o vlastnostiach trojuholníkov."
},
{
"role": "assistant",
"content": "Ahoj! Rád ti pomôžem. Aké vlastnosti trojuholníkov ťa zaujímajú?"
},
{
"role": "user",
"content": "Aký je vzťah medzi stranami trojuholníka?"
},
{
... | ur |
[
{
"role": "user",
"content": "Ahoj, potrebujem pomoc s úlohou o podobnosti trojuholníkov."
},
{
"role": "assistant",
"content": "Ahoj! Rád ti pomôžem. Aká je úloha?"
},
{
"role": "user",
"content": "Ako zistím, či sú dva trojuholníky podobné?"
},
{
"role": "assistant",
"c... | ur |
[
{
"role": "user",
"content": "Ahoj, potrebujem pomoc s úlohou o zhodnosti trojuholníkov."
},
{
"role": "assistant",
"content": "Ahoj! Rád ti pomôžem. Aká je úloha?"
},
{
"role": "user",
"content": "Ako zistím, či sú dva trojuholníky zhodné?"
},
{
"role": "assistant",
"con... | ur |
[
{
"role": "user",
"content": "Ahoj, potrebujem pomoc s úlohou o pravouhlých trojuholníkoch."
},
{
"role": "assistant",
"content": "Ahoj! Rád ti pomôžem. Aká je úloha?"
},
{
"role": "user",
"content": "Mám pravouhlý trojuholník a výšku na preponu. Ako to môžem použiť?"
},
{
"r... | ur |
[
{
"role": "user",
"content": "Ahoj, potrebujem pomoc s úlohou o uhloch v trojuholníku."
},
{
"role": "assistant",
"content": "Ahoj! Rád ti pomôžem. Aká je úloha?"
},
{
"role": "user",
"content": "Mám trojuholník, kde jeden uhol je 92° a druhý 58°. Ako nájdem tretí uhol?"
},
{
... | ur |
[
{
"role": "user",
"content": "Ahoj, potrebujem pomoc s úlohou o uhloch v trojuholníku."
},
{
"role": "assistant",
"content": "Ahoj! Rád ti pomôžem. Aká je úloha?"
},
{
"role": "user",
"content": "Mám pravouhlý trojuholník, kde jeden ostrý uhol je dvojnásobok druhého. Ako nájdem veľko... | ur |
[
{
"role": "user",
"content": "Yaar, mainu modifier errors bare thodi jaankari chahidi hai. Eh ki hunde aa?"
},
{
"role": "assistant",
"content": "Modifier errors oh hunde aa jadon asi sentences vich words ya phrases nu galat jagah te rakh dinde aa, jis naal matlab badal janda hai. Main tainu kuc... | ur |
[
{
"role": "user",
"content": "Yaar, parallelism da matlab samjha de. Eh ki cheez hai?"
},
{
"role": "assistant",
"content": "Parallelism da matlab hai ki jadon asi sentences vich similar ideas nu similar grammatical structure vich express karde aa. Is naal sentence di rhythm bani rehndi hai."
... | ur |
[
{
"role": "user",
"content": "Mainu kuch sentences vich modifier errors nu theek karan di practice karni hai. Koi examples aa?"
},
{
"role": "assistant",
"content": "Haan, zaroor. Eh sentences try karo: 'Smoking a big cigar, the baby was admired by its father.' Te 'Romeo almost kissed Juliet as ... | ur |
[
{
"role": "user",
"content": "Parallelism di practice karan layi kuch exercises aa?"
},
{
"role": "assistant",
"content": "Haan, zaroor. Eh sentences try karo: 'He has neither done the dishes nor has he made his bed.' Te 'She hopes to finish college, get a job and to find her own apartment.'"
... | ur |
[
{
"role": "user",
"content": "Modifier errors te parallelism vich farak ki hai?"
},
{
"role": "assistant",
"content": "Modifier errors vich, word ya phrase galat jagah te hone naal matlab badal janda hai. Parallelism vich, similar ideas nu similar grammatical structure vich express nahi kita jan... | ur |
[
{
"role": "user",
"content": "Mainu eh samajh nahi aa riha ki 'While climbing the tree, the bottle dropped' vich ki galat hai."
},
{
"role": "assistant",
"content": "Eh sentence vich modifier error hai. Isda matlab hai ki bottle tree te chad rahi si. Sahi sentence hona chahida hai 'While Mr. Dar... | ur |
[
{
"role": "user",
"content": "Agar main kehna chahunda haan ki 'I lost my hat running down the street', te eh galat kyun hai?"
},
{
"role": "assistant",
"content": "Eh sentence vich modifier error hai. Isda matlab hai ki hat daur rahi si. Sahi sentence hona chahida hai 'I lost my hat while runni... | ur |
[
{
"role": "user",
"content": "Parallelism di ek hor example samjha do."
},
{
"role": "assistant",
"content": "Dekho, 'She likes hiking, swimming, and to ride a bicycle.' Eh galat hai. Is vich 'hiking' te 'swimming' gerunds aa, par 'to ride' infinitive hai. Sahi hona chahida hai 'She likes hiking... | ur |
[
{
"role": "user",
"content": "Mainu eh samajh nahi aa riha ki 'The damage done by the flood was worse than the fire' vich ki galat hai."
},
{
"role": "assistant",
"content": "Eh sentence vich comparison error hai. Tusi flood de damage nu fire naal compare kar rahe ho, jo ki galat hai. Tusi damag... | ur |
[
{
"role": "user",
"content": "Agar main kehna chahunda haan ki 'My best buddy, Naina, is more loyal than my friends', te eh galat kyun hai?"
},
{
"role": "assistant",
"content": "Eh sentence vich comparison error hai. Tusi Naina nu apne sare friends naal compare kar rahe ho, jaddon ki Naina bhi ... | ur |
[
{
"role": "user",
"content": "Mainu kuch aur examples chahide aa modifier errors de."
},
{
"role": "assistant",
"content": "Zaroor. Eh try karo: 'Dressed in a silk nightgown, he thought his wife looked sexy.' Te 'I lost my hat running down the street.'"
},
{
"role": "user",
"content"... | ur |
[
{
"role": "user",
"content": "Parallelism di ek aur example deyo, please."
},
{
"role": "assistant",
"content": "Dekho, 'The teacher said that he was a poor student because he waited until the last minute to study for the exam, completed his lab problems in a careless manner, and his motivation ... | ur |
[
{
"role": "user",
"content": "Comparison errors bare thoda aur daso."
},
{
"role": "assistant",
"content": "Comparison errors vich, asi cheezan nu galat tarike naal compare karde aa. Jaise ki, 'The girl's teeth were prettier than the boy.' Eh galat hai, kyunki tusi teeth nu boy naal compare kar ... | ur |
[
{
"role": "user",
"content": "Mainu eh samajh nahi aa riha ki 'Education Hall is older than any building on campus' vich ki galat hai."
},
{
"role": "assistant",
"content": "Eh sentence vich comparison error hai. Tusi Education Hall nu sare buildings naal compare kar rahe ho, jaddon ki Education... | ur |
[
{
"role": "user",
"content": "Agar main kehna chahunda haan ki 'She types faster than I, and she's the most accurate', te eh galat kyun hai?"
},
{
"role": "assistant",
"content": "Eh sentence vich comparison error hai. Tusi speed nu accuracy naal compare kar rahe ho. Sahi hona chahida hai 'She t... | ur |
[
{
"role": "user",
"content": "Mainu modifier errors te parallelism di practice karan layi kuch aur sentences chahide aa."
},
{
"role": "assistant",
"content": "Zaroor. Eh try karo: 'Having lost patience, the malfunctioning computer was replaced.' Te 'The production manager was asked to write his... | ur |
[
{
"role": "user",
"content": "Parallelism di ek aur example deyo, please."
},
{
"role": "assistant",
"content": "Dekho, 'The coach told the players that they should get a lot of sleep, that they should not eat too much, and to do some warm-up exercises before the game.' Eh galat hai."
},
{
... | ur |
[
{
"role": "user",
"content": "Comparison errors di ek aur example deyo."
},
{
"role": "assistant",
"content": "Dekho, 'What takes the most time, your job or school?' Eh galat hai. Sahi hona chahida hai 'What takes more time, your job or school?'"
},
{
"role": "user",
"content": "Oh, ... | ur |
[
{
"role": "user",
"content": "Mainu modifier errors te parallelism di practice karan layi kuch aur sentences chahide aa."
},
{
"role": "assistant",
"content": "Zaroor. Eh try karo: 'Walking through the park, the grass tickled my feet.' Te 'He said tonight he'd call me.'"
},
{
"role": "us... | ur |
[
{
"role": "user",
"content": "Mainu modifier errors te parallelism di practice karan layi kuch aur sentences chahide aa."
},
{
"role": "assistant",
"content": "Zaroor. Eh try karo: 'The dictionary can be used for these purposes: to find word meanings, pronunciations, correct spellings, and looki... | ur |
[
{
"role": "user",
"content": "Salam! Mainu grammar bare kuch puchna si. Eh CAT exam vich kinni important hai?"
},
{
"role": "assistant",
"content": "Wa'alaikum assalam! CAT exam vich grammar di bahut zyada importance hai. Lagbhag 15 marks grammar te depend karde ne. Is layi, grammar te dhyan den... | ur |
[
{
"role": "user",
"content": "Yaar, main ek sentence likhi si, 'I am seeking for the best possible solution for this problem.' Eh theek hai?"
},
{
"role": "assistant",
"content": "Nahi, eh theek nahi hai. Isnu 'I am seeking the best possible solution to this problem' likho. 'For' di jagah 'to' a... | ur |
[
{
"role": "user",
"content": "Mainu 'hopefully' da use samajh nahi aunda. Eh theek hai agar main likha 'Hopefully, I shall learn correct English soon'?"
},
{
"role": "assistant",
"content": "Nahi, 'hopefully' da use Indianism hai, isnu avoid karna chahida hai. Isdi jagah 'I hope I shall learn co... | ur |
[
{
"role": "user",
"content": "Yaar, main ek sentence banaya si, 'This computer needs upgradation.' Eh theek hai?"
},
{
"role": "assistant",
"content": "Nahi, eh galat hai. Isnu 'This computer needs to be upgraded' likho. 'Upgradation' standard English word nahi hai."
},
{
"role": "user",... | ur |
[
{
"role": "user",
"content": "Mainu 'would-be wife' da use samajh nahi aunda. Eh theek hai agar main likha 'Meet my would-be wife Priya'?"
},
{
"role": "assistant",
"content": "Nahi, 'would-be wife' standard English usage nahi hai. Isdi jagah 'Meet my fiancée Priya' likho."
},
{
"role": ... | ur |
[
{
"role": "user",
"content": "Yaar, main ek sentence banaya si, 'This shop sells very good shirtings and suitings at low rates.' Eh theek hai?"
},
{
"role": "assistant",
"content": "Nahi, eh galat hai. 'Shirtings and suitings' Indian usage hai, isnu avoid karo. Isdi jagah 'This shop sells very g... | ur |
[
{
"role": "user",
"content": "Mainu 'time-pass' da use samajh nahi aunda. Eh theek hai agar main likha 'We have no work to do so we came here for a movie just as a time-pass'?"
},
{
"role": "assistant",
"content": "Nahi, 'time-pass' standard English word nahi hai. Isdi jagah 'to while away (or k... | ur |
[
{
"role": "user",
"content": "Yaar, main ek sentence banaya si, 'Can we meet tomorrow itself?' Eh theek hai?"
},
{
"role": "assistant",
"content": "Nahi, 'tomorrow itself' Indianism hai, isnu avoid karo. Isdi jagah 'Can we meet tomorrow?' likho."
},
{
"role": "user",
"content": "Oh, ... | ur |
[
{
"role": "user",
"content": "Mainu 'so much of' da use samajh nahi aunda. Eh theek hai agar main likha 'There is so much of happiness in being honest'?"
},
{
"role": "assistant",
"content": "Nahi, 'so much of' da use galat hai. Isdi jagah 'so much' use karo. Jaise ki 'There is so much happiness... | ur |
[
{
"role": "user",
"content": "Mainu 'to time / on time / in time' da use samajh nahi aunda. Eh theek hai agar main likha 'These days, the train is running to time'?"
},
{
"role": "assistant",
"content": "Nahi, 'to time' da use galat hai. Isdi jagah 'on time' use karo. Jaise ki 'These days, the t... | ur |
[
{
"role": "user",
"content": "Yaar, main ek sentence banaya si, 'He runs faster than me.' Eh theek hai?"
},
{
"role": "assistant",
"content": "Nahi, eh galat hai. Isdi jagah 'He runs faster than I' likho."
},
{
"role": "user",
"content": "Oh, samajh gaya! Te agar main likha 'He is ol... | ur |
[
{
"role": "user",
"content": "Mainu 'its / it’s' da use samajh nahi aunda. Eh theek hai agar main likha 'The cat licked it’s tail'?"
},
{
"role": "assistant",
"content": "Nahi, 'it’s' da use galat hai. Isdi jagah 'its' use karo. Jaise ki 'The cat licked its tail'."
},
{
"role": "user",
... | ur |
[
{
"role": "user",
"content": "Yaar, main ek sentence banaya si, 'The report comprises of five sections.' Eh theek hai?"
},
{
"role": "assistant",
"content": "Nahi, eh galat hai. Isdi jagah 'The report comprises five sections' likho. 'Of' di koi zaroorat nahi hai."
},
{
"role": "user",
... | ur |
[
{
"role": "user",
"content": "Mainu 'continuously / continually' da use samajh nahi aunda. Eh theek hai agar main likha 'PT material is continuously updated, year after year'?"
},
{
"role": "assistant",
"content": "Nahi, 'continuously' da use galat hai. Isdi jagah 'continually' use karo. Jaise k... | ur |
[
{
"role": "user",
"content": "Yaar, main ek sentence banaya si, 'Let Raju and I enter the room.' Eh theek hai?"
},
{
"role": "assistant",
"content": "Nahi, eh galat hai. Isdi jagah 'Let Raju and me enter the room' likho."
},
{
"role": "user",
"content": "Oh, samajh gaya! Te agar main... | ur |
[
{
"role": "user",
"content": "Mainu 'had / had had / have had' da use samajh nahi aunda. Eh theek hai agar main likha 'I had my dinner before the phone rang'?"
},
{
"role": "assistant",
"content": "Nahi, eh galat hai. Isdi jagah 'I had had my dinner before the phone rang' likho."
},
{
"r... | ur |
[
{
"role": "user",
"content": "Yaar, main ek sentence banaya si, 'You cannot succeed until and unless you do not study hard.' Eh theek hai?"
},
{
"role": "assistant",
"content": "Nahi, eh galat hai. Isdi jagah 'You cannot succeed until and unless you study hard' likho."
},
{
"role": "user... | ur |
[
{
"role": "user",
"content": "Mainu 'childrens / children’s / childrens’' da use samajh nahi aunda. Eh theek hai agar main likha 'This is a childrens park'?"
},
{
"role": "assistant",
"content": "Nahi, eh galat hai. Isdi jagah 'This is a children’s park' likho."
},
{
"role": "user",
... | ur |
[
{
"role": "user",
"content": "Yaar, main ek sentence banaya si, 'His shot is wide of the mark.' Eh theek hai?"
},
{
"role": "assistant",
"content": "Nahi, eh galat hai. Isdi jagah 'His shot is wide off the mark' likho."
},
{
"role": "user",
"content": "Oh, samajh gaya! Te agar main l... | ur |
[
{
"role": "user",
"content": "Mainu 'lied / laid / lain' da use samajh nahi aunda. Eh theek hai agar main likha 'The mystery of the CAT paper has always lied in the RC section'?"
},
{
"role": "assistant",
"content": "Nahi, eh galat hai. Isdi jagah 'The mystery of the CAT paper has always lain in... | ur |
[
{
"role": "user",
"content": "E, ma'am, ajeeb lagda hai, subject-verb agreement bare vich kuch samjhao?"
},
{
"role": "assistant",
"content": "Haan ji, zaroor. Subject-verb agreement grammar da ek important hissa hai. Ehda matlab hai ki sentence vich subject te verb nu number te person de hisab ... | ur |
[
{
"role": "user",
"content": "Yaar, mainu eh samajh nahi aunda ki indefinite pronouns singular ya plural verb lainde ne."
},
{
"role": "assistant",
"content": "Koi baat nahi, main samjhaundi haan. Indefinite pronouns jaise 'each', 'either', 'neither', 'one', 'everyone', 'everybody', te 'everythi... | ur |
[
{
"role": "user",
"content": "Mainu 'and' naal jude subjects bare vich thodi madad chahidi hai."
},
{
"role": "assistant",
"content": "Zaroor. Subjects jo 'and' naal jude hunde ne, aam taur te plural verb lainde ne. Jaise, 'Jai and Veeru are radio jockeys'."
},
{
"role": "user",
"con... | ur |
[
{
"role": "user",
"content": "Mainu 'or', 'nor', 'either...or', te 'neither...nor' wale rules bare vich samjhao."
},
{
"role": "assistant",
"content": "Bilkul. In cases vich, verb us subject naal agree karega jo usde sab ton kareeb hai. Jaise, 'Neither the students nor the teacher is responsible... | ur |
[
{
"role": "user",
"content": "Collective nouns bare vich kuch daso."
},
{
"role": "assistant",
"content": "Collective nouns, jaise 'audience', 'faculty', ya 'jury', singular verb lainde ne jadon group nu ek whole manaya janda hai, te plural verb jadon members nu alag-alag manaya janda hai. Jaise... | ur |
[
{
"role": "user",
"content": "Mainu eh samajh nahi aunda ki kuch nouns singular te plural vich same rehnde ne."
},
{
"role": "assistant",
"content": "Haan, kuch nouns singular te plural vich same rehnde ne. Jaise, 'deer', 'shrimp', te 'sheep'. Sentence da matlab decide karega ki oh singular hai ... | ur |
[
{
"role": "user",
"content": "Verbal nouns bare vich kuch daso."
},
{
"role": "assistant",
"content": "Verbal nouns (infinitive ya gerund) jo subject de taur te kam karde ne, singular mane jande ne. Jaise, 'Hiding your mistakes does not make them go away'."
},
{
"role": "user",
"cont... | ur |
[
{
"role": "user",
"content": "Adjectives of quantity bare vich kuch daso."
},
{
"role": "assistant",
"content": "Adjectives of quantity jaise 'much', 'more', 'little', 'less', 'lots', etc., singular verb lainde ne. Jaise, 'Much has already been done'."
},
{
"role": "user",
"content":... | ur |
[
{
"role": "user",
"content": "Mainu 'singular in pair' wale nouns bare vich samjhao."
},
{
"role": "assistant",
"content": "Kuch nouns jaise 'trousers', 'glasses', 'pants', 'scissors' plural mane jande ne, unless oh 'pair of' naal shuru hon. Jaise, 'Your trousers are dirty' te 'A pair of trouser... | ur |
[
{
"role": "user",
"content": "Agar definite numeral adjective te fraction use karna hove, taan ki karna hai?"
},
{
"role": "assistant",
"content": "Noun numeral adjective de baad aayega, te noun da number numeral adjective de hisab naal singular ya plural hovega. Jaise, 'I have read five chapter... | ur |
[
{
"role": "user",
"content": "Mainu kuch ajeeb cheezaan bare vich puchna hai, jaise 'wages' singular ya plural."
},
{
"role": "assistant",
"content": "'Wages' singular ya plural ho sakda hai. 'The wages of sin is death' vich singular hai, te 'The wages are not so low these days' vich plural."
... | ur |
[
{
"role": "user",
"content": "Subject-verb agreement bare vich kuch aur examples de sakde ho?"
},
{
"role": "assistant",
"content": "Zaroor. 'The dog and the cat are playing' vich 'are' aayega kyunki do subjects ne. 'The dog or the cats are playing' vich 'are' aayega kyunki 'cats' kareeb hai. 'E... | ur |
[
{
"role": "user",
"content": "Mainu thoda confusion hai, 'a few' te 'few' vich ki farak hai?"
},
{
"role": "assistant",
"content": "'A few' da matlab hai 'kuch', te eh plural verb lainda hai. 'Few' da matlab hai 'bahut kam', te eh bhi plural verb lainda hai. Jaise, 'A few students are present' t... | ur |
[
{
"role": "user",
"content": "Mainu 'none' bare vich thoda aur samjhao."
},
{
"role": "assistant",
"content": "'None' singular ya plural ho sakda hai, eh is te depend karda hai ki oh kinna refer kar raha hai. Agar 'none' ek cheez nu refer kar raha hai, taan singular verb, te agar bahut sari chee... | ur |
[
{
"role": "user",
"content": "Agar sentence vich 'as well as' ya 'with' use hove, taan ki hunda hai?"
},
{
"role": "assistant",
"content": "Agar sentence 'as well as', 'with', 'along with', 'together with', ya 'including' naal shuru hove, taan verb pehle subject naal agree karega. Jaise, 'The te... | ur |
[
{
"role": "user",
"content": "Mainu 'the only one of the' wale structure bare vich samjhao."
},
{
"role": "assistant",
"content": "Agar sentence 'the only one of the' naal shuru hove, taan verb singular hovega. Jaise, 'She is the only one of the students who has passed'."
},
{
"role": "u... | ur |
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