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12. Let $P(6,3)$ be a point on the hyperbola $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1$. If the normal at the point $P$ intersects the $x$-axis at $(9,0)$, then the eccentricity of the hyperbola is
(A) $\sqrt{\frac{5}{2}}$
(B) $\sqrt{\frac{3}{2}}$
(C) $\sqrt{2}$
(D) $\sqrt{3}$
(IIT-JEE, 2011) | 1 |
How can I earn 8 ball pool cash? | 0 |
1. Which of the following is not an example of heterogeneous catalytic reaction?
(a) Ostwald's process
(b) Combustion of coal
(c) Hydrogenatoin of vegetable oils
(d) Haber's process | 1 |
What is the best way to recover from burnout? | 0 |
7. If $f(x)$ be a continuous function in $[0,2 \pi]$ and $f(0)=f(2 \pi)$, then prove that there exists point $c \in(0, \pi)$ such that $f(c)=f(c+\pi)$. | 1 |
Why does Quora mark all my questions as needing clarification and all answers too? | 0 |
- Compare carbocation stability in given pairs,
 | 1 |
5 ILW An unstable high-energy particle enters a detector and leaves a track of length 1.05 mm before it decays. Its speed relative to the detector was $0.992 c$. What is its proper lifetime? That is, how long would the particle have lasted before decay had it been at rest with respect to the detector?
Reference frame ... | 1 |
What did the United States place on Japans war efforts? | 0 |
24. Let $E_{1} E_{2}$ and $F_{1} F_{2}$ be the chords of $S$ passing through the point $P_{0}(1,1)$ and parallel to the $X$-axis and the $Y$-axis, respectively. Let $G_{1} G_{2}$ be the chord of $S$ passing through $P_{0}$ and having slope -1 . Let the tangents to $S$ at $E_{1}$ and $E_{2}$ meet at $E_{3}$, then tangen... | 1 |
32. The temperature coefficient of a reaction is 2 . The rate of this reaction, on raising the temperature by $25^{\circ}$, shall increase by
(a) 4 times
(b) 8 times
(c) 6 times
(d) 5.65 times | 1 |
2. Two springs A and B(kA = 2kB) are stretched by applying
forces of equal magnitudes at the four ends. If the energy
stored in A is E, that in B is
(a) E/2 (b) 2E (c) E (d) E/4 | 1 |
What is the process close a vat firm in India? | 0 |
3. In an experiment, the resistance of a material is plotted as a function of temperature (in some range). As shown in the figure, it is a straight line.
(2019 Main, 10 April I)
One may c... | 1 |
(b) What is the rotational inertia $I$ of the body about an axis through the left end of the rod and parallel to the first axis (Fig. 10-13b)? | 1 |
Why do we respect our national anthem? | 0 |
What should I do when I travel to bhutan? | 0 |
1. If $\lambda_{C u}$ is the wavelength of $K_{\alpha}$, $X$-ray line of copper (atomic number 29) and $\lambda_{\mathrm{Mo}}$ is the wavelength of the $K_{\alpha} \mathrm{X}$-ray line of molybdenum (atomic number 42), then the ratio $\lambda_{\mathrm{Cu}} / \lambda_{\mathrm{Mo}}$ is close to
(a) 1.99
(b) 2.14
(c) 0.... | 1 |
What will happen to international students in the US if Donald Trump becomes president? | 0 |
49. Let $\vec{a}_{r}=x_{r} \hat{i}+y_{r} \hat{j}+z_{r} \hat{k}, r=1,2,3$ be three mutually perpendicular unit vectors, then the value of $\left|\begin{array}{lll}x_{1} & x_{2} & x_{3} \\ y_{1} & y_{2} & y_{3} \\ z_{1} & z_{2} & z_{3}\end{array}\right|$ is equal to
a. zero
b. $\pm 1$
c. $\pm 2$
d. none of these | 1 |
4. Can a charged particle be accelerated by a magnetic field. Can its speed be increased? | 1 |
What are the ways to commit suicide? | 0 |
How many blogs can one create on Quora? | 0 |
What is flowchart? | 0 |
14. $K_c$ for $\mathrm{A}+\mathrm{B} \rightleftharpoons \mathrm{C}+\mathrm{D}$ is 10 at $25^{\circ} \mathrm{C}$. If a container contains $1,2,3$ and 4 moles of $\mathrm{A}, \mathrm{B}, \mathrm{C}$ and D respectively at $25^{\circ} \mathrm{C}$, the reaction shall
(a) proceed from left to right
(b) proceed right to left
... | 1 |
On what day of the week will travel remain unrestricted by New Delhi's alternate day driving scheme? | 0 |
If one completes the entire Free Code Camp program (all available modules), earning all four certificates, would one be prepared for a junior dev job? | 0 |
15. If a circle passes through the point $(a, b)$ and cuts the circle $x^{2}+y^{2}=k^{2}$ orthogonally, then the equation of the locus of its centre is
(a) $2 a x+2 b y-\left(a^{2}+b^{2}+k^{2}\right)=0$
(b) $2 a x+2 b y-\left(a^{2}-b^{2}+k^{2}\right)=0$
(c) $x^{2}+y^{2}-3 a x-4 b y+a^{2}+b^{2}-k^{2}=0$
(d) $x^{2}... | 1 |
How far did the Majapahit Empire's influence stretch? | 0 |
How do I become a boxer? | 0 |
1. For a real number $y$, let $[y]$ denotes the greatest integer less than or equal to $y$. Then the function
$f(x)=\frac{\tan (\pi[x-\pi])}{1+[x]^{2}}$ is
a. discontinuous at some $x$
b. continuous at all $x$, but the derivative $f^{\prime}(x)$ does not exist for some $x$
c. $f^{\prime}(x)$ exists for all $x$, bu... | 1 |
24. \$ \qquad \$ acid gives hypo
ion.
(hydrobromic, hypobromous, perbromic, bromide, bromite, perbromate) | 1 |
17. If it were possible to generate a sinusoidal $300 \mathrm{~Hz}$ sound wave in air that has a displacement amplitude of $0.200 \mathrm{~mm}$. What would be the sound level of the wave? (Assume $v=330 \mathrm{~m} / \mathrm{s}$ and $\rho_{\text {air }}=1.29 \mathrm{~kg} / \mathrm{m}^{3}$ ) | 1 |
Where did the White Huns roam? | 0 |
Are IAS officiers required to wear uniform? | 0 |
When did the Second Boer War end? | 0 |
5. Let $a, b$ and $c$ be the 7 th, 11 th and 13 th terms respectively of a non-constant AP. If these are also the three consecutive terms of a GP, then $\frac{a}{c}$ is equal to
(a) 2
(b) $\frac{7}{13}$
(c) 4
(d) $\frac{1}{2}$
(2019 Main, 9 Jan II) | 1 |
5. Which of the following has the maximum number of unpaired electrons?
(a) $\mathrm{Mg}^{2+}$
(b) $\mathrm{Ti}^{3+}$
(c) $\mathrm{V}^{3+}$
(d) $\mathrm{Fe}^{2+}$ | 1 |
Ex. 20. Benzene and toluene form an ideal solution. The vapour pressure of benzene and toluene are respectively 75 mm and 22 mm at $20^{\circ} \mathrm{C}$. If the mole fractions of benzene and toluene in vapour are 0.63 and 0.37 respectively, calculate the vapour pressure of the ideal mixture. | 1 |
What is it like to own a private jet? | 0 |
How is school changing in the 21st century in Singapore? | 0 |
6. When benzene is protonated the resulting ion is the cyclohexadienyl cation. Which of the following MOs is the best representation of the LUMO of this cation?
 | 1 |
66. Let $\lambda \in R$, the origin and the non-real roots of $2 z^{2}+2 z+\lambda=0$ form the three vertices of an equilateral triangle in the Argand plane then $\lambda$ is
a. 1
b. $\frac{2}{3}$
c. 2
d. -1 | 1 |
3. For a particle executing SHM the displacement $x$ is given by $x=A \cos \omega t$. Identify the graph which represents the variation of potential energy (PE) as a function of time $t$ and displacement $x$.
(2003, 2M)
^{2}$, where $U$ is in joule and $x$ in meter. Find the equilibrium position and state whether it is stable or unstable equilibrium. | 1 |
54. The potentiometer wire $A B$ shown in figure (32-E27) is $50 \mathrm{~cm}$ long. When $A D=30 \mathrm{~cm}$, no deflection occurs in the galvanometer. Find $R$.
Figure 32 -E27 | 1 |
- Example 3.27 The graph between object distance $u$ and image distance $v$ for a lens is given below. The focal length of the lens is
(JEE 2006)
Fig. 3.46
(a) $5 \pm 0.1$
(b) $5 \pm 0.05$... | 1 |
Can I select applied math departments' professors to be my thesis tutor if I am enrolled in a pure math phd program? | 0 |
57. $\lim _{x \rightarrow 0}\left(\frac{1^{x}+2^{x}+3^{x}+\cdots+n^{x}}{n}\right)^{1 / x}$ is equal to
a. $(n!)^{n}$
b. $(n!)^{1 / n}$
c. $n$ !
d. $\ln (n!)$ | 1 |
What does executive branch control over judiciary money undermine? | 0 |
39. A metallic rod of length $l$ is hinged at the point $M$ and is rotating about an axis perpendicular to the plane of paper with a constant angular velocity $\omega$. A uniform magnetic field of intensity $B$ is acting in the region (as shown in the figure) parallel to the plane of paper. The potential difference bet... | 1 |
Is Java easy to learn? | 0 |
What does kitten meat taste like? | 0 |
When did Jiji Manga debut? | 0 |
19. A compound of molecular formula $\mathrm{C}_{8} \mathrm{H}_{8} \mathrm{O}_{2}$ reacts with acetophenone to form a single cross-aldol product in the presence of base. The same compound on reaction with conc. $\mathrm{NaOH}$ forms benzyl alcohol as one of the products. The structure of the compound is:
$ of its original pressure $P_{0}$. If the process is assumed to be isothermal and air is considered an ideal gas, the number of st... | 1 |
Sociopaths: What is boredom like for a sociopath? | 0 |
53. Let $\vec{f}(t)=[t] \hat{i}+(t-[t]) \hat{j}+[t+1] \hat{k}$, where [.] denotes the greatest integer function. Then the vectors $\vec{f}\left(\frac{5}{4}\right)$ and $\vec{f}(t), 0<t<1$, are
a. parallel to each other
b. perpendicular to each other
c. inclined at $\cos ^{-1} \frac{2}{\sqrt{7\left(1-t^{2}\right)}}$
d. ... | 1 |
23. A $3 p$ orbital has :
(a) two non spherical nodes
(b) two spherical nodes
(c) one spherical \& one non spherical node
(d) one spherical and two non spherical nodes | 1 |
Is it worth anything to try a Ouija board? | 0 |
When does a party form an official opposition? | 0 |
Do you feel that if you didn't exist there would be a difference (in general)? | 0 |
Why do adolescents feel confused and insecure during puberty? | 0 |
18. Water enters through end $A$ with a speed $v_{1}$ and leaves through end $B$ with a speed $v_{2}$ of a cylindrical tube $A B$. The tube is always completely filled with water. In case $I$ the tube is horizontal, in case $I I$ it is vertical with the end $A$ upward and in case $I I I$ it is vertical with the end $B$... | 1 |
Example 7.7 Evaluate $\int \frac{\sec x}{\sec x+\tan x} d x$ | 1 |
How do I get my money back from an we chat scammer? | 0 |
20. $\sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right)$ | 1 |
What is the population of Hyderabad? | 0 |
I got 2774 rank inUPESEAT 2015. Can I expect petroleum branch at UPES? | 0 |
Lisa how do you know which country I live in? | 0 |
What should I do one hour a day at school to optimize my school experience? I have an 8 hour school day and my only break is for lunch. What can I do? | 0 |
Ex. 21. A current of 1.70 A is passed through 300 mL of a 0.16 M solution of $\mathrm{ZnSO}_{4}$ for 230 s with a current efficiency of $90 \%$. Find out molarity of $\mathrm{Zn}^{2+}$ after the deposition of Zn . Assume the volume of the solution to remain constant during the electrolysis.
(IIT 1991) | 1 |
23. In the reaction sequence
$$2 \mathrm{CH}_{3} \mathrm{CHO} \xrightarrow{\mathrm{OH}^{-}} \mathrm{A} \xrightarrow{\Delta} \mathrm{B} \text {; the product } \mathrm{B} \text { is : }
$$
(a) $\mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CH}_{2}-\mathrm{CH}_{2}-\mathrm{OH}$
(b) $\mathrm{CH}_{3}-\mathrm{CH}=\mathrm{CH}-\ma... | 1 |
6. The diameter of a cylinder is measured using a vernier calipers with no zero error. It is found that the zero of the vernier scale lies between $5.10 \mathrm{~cm}$ and $5.15 \mathrm{~cm}$ of the main scale. The vernier scale has 50 division equivalent to $2.45 \mathrm{~cm}$. The 24th division of the vernier scale ex... | 1 |
My friend has started talking to me again after a fight. What can I do to show her how much I care about her? | 0 |
(i) Reaction of ethanolic $\mathrm{NH}_{3}$ with $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{Cl}$. | 1 |
12. The area of the region $\mathrm{A}=\{(x, y) ; 0 \leq y \leq x|x|+1$ and $-1 \leq x \leq 1\}$ in sq. units, is
(a) 2
(b) $\frac{4}{3}$
(c) $\frac{1}{3}$
(d) $\frac{2}{3}$ | 1 |
2. $\lim _{x \rightarrow 1-} \frac{\sqrt{\pi}-\sqrt{2 \sin ^{-1} x}}{\sqrt{1-x}}$ is equal to
(a) $\sqrt{\frac{\pi}{2}}$
(b) $\sqrt{\frac{2}{\pi}}$
(c) $\sqrt{\pi}$
(d) $\frac{1}{\sqrt{2 \pi}}$ | 1 |
Why do you like Sachin Tendulkar? | 0 |
34. Identify the correct order of acidic strengths of $\mathrm{CO}_2, \mathrm{CuO}, \mathrm{CaO}, \mathrm{H}_2 \mathrm{O}$
(a) $\mathrm{CaO}<\mathrm{CuO}<\mathrm{H}_2 \mathrm{O}<\mathrm{CO}_2$
(b) $\mathrm{H}_2 \mathrm{O}<\mathrm{CuO}<\mathrm{CaO}<\mathrm{CO}_2$
(c) $\mathrm{CaO}<\mathrm{H}_2 \mathrm{O}<\mathrm{CuO}<\m... | 1 |
32. The figure below is the plot of potential energy versus internuclear distance $(d)$ of $\mathrm{H}_{2}$ molecule in the electronic ground state. What is the value of the net potential energy $E_{0}$ (as indicated in the figure) in $\mathrm{kJ}$ $\mathrm{mol}^{-1}$, for $d=d_{0}$ at which the electron-electron repul... | 1 |
31. A pair of fair dice is rolled together till a sum of either 5 or 7 is obtained. Then, the probability that 5 comes before 7 , is... .
$(1989,2 \mathrm{M})$ | 1 |
How can I change my profile picture on Quora? | 0 |
Which is the best android device to buy under ₹15000? | 0 |
What are the best things I had to do to grow tall after 18 years in 6 months? | 0 |
How do I transfer files via USB from Android to PS4? | 0 |
1. The dimensions of self inductance are
(a) $\left[\mathrm{MLT}^{-2} \mathrm{~A}^{-2}\right]$
(b) $\left[\mathrm{ML}^{2} \mathrm{~T}^{-1} \mathrm{~A}^{-2}\right]$
(c) $\left[\mathrm{ML}^{2} \mathrm{~T}^{-2} \mathrm{~A}^{-2}\right]$
(d) $\left[\mathrm{ML}^{2} \mathrm{~T}^{-2} \mathrm{~A}^{-1}\right]$ | 1 |
29. An ideal liquid is filled in a cylindrical vessel of area of cross-section A . There is a hole of area $\frac{A}{5}$ at
its bottom. Find the acceleration of the surface of liquid when hole is opened. | 1 |
What was your scariest experience with nature? | 0 |
1. Match the two columns.
| Column I | Column II | |
| :--- | :--- | :--- |
| (a) $)$ Boltzmann constant | (p) $\left[\mathrm{ML}^{2} \mathrm{~T}^{-1}\right]$ | |
| (b) | Coefficient of viscosity | (q) $\left[\mathrm{ML}^{-1} \mathrm{~T}^{-1}\right]$ |
| (c) Planck constant | (r) $\left[\mathrm{MLT}^{-3} \mathrm{~K}... | 1 |
How do you make a fair trade farm? | 0 |
Will Digital India be successful? | 0 |
(b) Silicon dioxide is treated with hydrogen fluoride: | 1 |
Can you play S4 league on a Mac? | 0 |
46. When an ideal gas undergoes unrestrained expansion, no cooling occurs because the molecules :
(a) are above the inversion temperature
(b) exert no attractive forces on each other
(c) do work equal to loss in kinetic energy
(d) collide without loss of energy | 1 |
What is the typical beginner's salary in Germany for an electrical engineer (Master) from one of the TU-9? | 0 |
19. What happens when an inert gas is added to an equilibrium keeping volume unchanged?
(a) More product will form
(b) Less product will form
(c) More reactant will form
(d) Equilibrium will remain unchanged | 1 |
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