Competishun Header
Competishun
Contact Us
Back

Report Issue

JEE ADVANCE 2012
paper 1
Multiple correct answers - Select all that apply
Question
Tangents are drawn to the hyperbola $\frac{x^2}{9}-\frac{y^2}{4}=1$, parallel to the straight line $2 x-y=1$. The points of contacts of the tangents on the hyperbola are
Select ALL correct options:
A
$\left(\frac{9}{2 \sqrt{2}}, \frac{1}{\sqrt{2}}\right)$
B
$\left(-\frac{9}{2 \sqrt{2}},-\frac{1}{\sqrt{2}}\right)$
C
$(3 \sqrt{3},-2 \sqrt{2})$
D
$(-3 \sqrt{3}, 2 \sqrt{2})$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
⚠ Partially correct. Some answers are missing.
Solution
Question Tags
JEE Advance
Mathematics
Easy
Start Preparing for JEE with Competishun
YouTube
Books
App
Tests
Filters 0
JEE Main
JEE Advance
Easy
Medium
Hard
Showing 18 questions
QJEE Advance 20132013
For 3×3 matrices M and N, which of the following statement(s) is (are) NOT correct?
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20132013
Let $S=S_1 \cap S_2 \cap S_3$, where $$ \begin{aligned} & S_1=\{z \in C:|z|<4\}, S_2=\left\{z \in C: \operatorname{Im}\left[\frac{z-1+\sqrt{3} i}{1-\sqrt{3} i}\right]>0\right\} \text...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20132013
Let $f(x)=x \sin \pi x, x>0$. Then for all natural numbers $n, f^{\prime}(x)$ vanishes at
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20122012
Let $P Q R$ be a triangle of area $\triangle$ with $a=2, b=\frac{7}{2}$ and $c=\frac{5}{2}$, where $a, b$ and $c$...
JEE AdvanceMathematicsEasy
View Solution→
QJEE ADVANCE 20102010
The synthesis of 3 – octyne is achieved by adding a bromoalkane into a mixture of sodium amide and an...
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance 20132013
A line $l$ passing through the origin is perpendicular to the lines $$ \begin{aligned} & l_1:(3+\mathrm{t}) \hat{\mathrm{i}}+(-1+2 \mathrm{t}) \hat{\mathrm{j}}+(4+2 \mathrm{t})...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20132013
Let $P Q$ be a focal chord of the parabola $y^2=4 a x$. The tangents to the parabola at $P$...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20132013
Let $S_n=\sum_{k=1}^{4 n}(-1)^{\frac{k(k+1)}{2}} k^2$. Then $S_n$ can take value(s)
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20132013
Let $P Q$ be a focal chord of the parabola $y^2=4 a x$. The tangents to the parabola at $P$...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20132013
A rectangular sheet of fixed perimeter with sides having their lengths in the ratio $8: 15$ is converted into an...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20132013
The number of points in $(-\infty, \infty)$, for which $x^2-x \sin x-\cos x=0$, is
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20132013
Let $f:\left[\frac{1}{2}, 1\right] \rightarrow R$ (the set of all real numbers) be a positive, non-constant and differentiable function such that...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20122012
If $\vec{a}$ and $\vec{b}$ are vectors such that $|\vec{a}+\vec{b}|=\sqrt{29}$ and $\vec{a} \times(2 \hat{i}+3 \hat{j}+4 \hat{k})=(2 \hat{i}+3 \hat{j}+4 \hat{k}) \times \vec{b}$,...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20132013
A curve passes through the point $\left(1, \frac{\pi}{6}\right)$. Let the slope of the curve at each point $(x, y)$ be...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20122012
The equation of a plane passing through the line of intersection of the planes $x+2 y+3 z=2$ and $x-y+z=3$ and...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20132013
The function $f(x)=2|x|+|x+2|-||x+2|-2| x| |$ has a local minimum or a local maximum at $x=$
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20132013
The area enclosed by the curves $y=\sin x+\cos x$ and $y=|\cos x-\sin x|$ over the interval $\left[0, \frac{\pi}{2}\right]$ is
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20132013
Let $\omega$ be a complex cube root of unity with $\omega \neq 1$ and $\mathrm{P}=\left[\mathrm{p}_{\mathrm{ij}}\right]$ be a $\mathrm{n} \times \mathrm{n}$...
JEE AdvanceMathematicsEasy
View Solution→