Competishun Header
Competishun
Contact Us
Back

Report Issue

JEE MAIN 2021
25-02-2021 S2
Question
If the curve $x^2+2 y^2=2$ intersects the line $x+y=1$ at two points $P$ and $Q$, then the angle subtended by the line segment PQ at the origin is :
Select the correct option:
A
$\frac{\pi}{2}+\tan ^{-1}\left(\frac{1}{3}\right)$
B
$\frac{\pi}{2}-\tan ^{-1}\left(\frac{1}{3}\right)$
C
$\frac{\pi}{2}-\tan ^{-1}\left(\frac{1}{4}\right)$
D
$\frac{\pi}{2}+\tan ^{-1}\left(\frac{1}{4}\right)$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Solution Image
Question Tags
JEE Main
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 20062006
A massless rod is suspended by two identical strings AB and CD of equal length. A block of mass m...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20062006
Graph of position of image vs position of point object from a convex lens is shown. Then, focal length of...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20062006
The equations of the common tangents to the parabola $y=x^2$ and $y=-(x-2)^2$ is/are
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20062006
Let $\vec{a}=\hat{i}+2 \hat{j}+\hat{k}, \vec{b}=\hat{i}-\hat{j}+\hat{k}$ and $\vec{c}=\hat{i}-\hat{j}-\hat{k}$. A vector in the plane of $\vec{a}$ and $\vec{b}$ whose projection on $\vec{c}$ is...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20062006
A plane passes through $(1,-2,1)$ and is perpendicular to two planes $2 x-2 y+z=0$ and $x-y+2 z=4$. The distance of...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20062006
Given a sample of Radium-226 having half-life of 4 days. Find the probability, a nucleus disintegrates after 2 half lives.
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20062006
The axis of a parabola is along the line $\mathrm{y}=\mathrm{x}$ and the distance of its vertex from origin is $\sqrt{2}$...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20062006
Let $\theta \in\left(0, \frac{\pi}{4}\right)$ and $\mathrm{t}_1=(\tan \theta)^{\tan \theta}, \mathrm{t}_2=(\tan \theta)^{\cot \theta}, \mathrm{t}_3=(\cot \theta)^{\tan \theta}$ and $\mathrm{t}_4=(\cot \theta)^{\cot \theta}$, then
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20062006
If $r, s, t$ are prime numbers and $p, q$ are the positive integers such that the LCM of $...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20062006
If $f^{\prime}(x)=-f(x)$ and $g(x)=f^{\prime}(x)$ and $F(x)=\left(f\left(\frac{x}{2}\right)\right)^2+\left(g\left(\frac{x}{2}\right)\right)^2$ and given that $F(5)=5$, then $F(10)$ is equal to
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20062006
Let $\mathrm{a}, \mathrm{b}, \mathrm{c}$ be the sides of a triangle. No two of them are equal and $\lambda \in \mathrm{R}$....
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20062006
A biconvex lens of focal length $f$ forms a circular image of sun of radius $r$ in focal plane. Then
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20062006
If $w=\alpha+i \beta$, where $\beta \neq 0$ and $z \neq 1$, satisfies the condition that $\left(\frac{w-\bar{w} z}{1-z}\right)$ is purely real,...
JEE AdvanceMathematicsEasy
View Solution→
QJEE ADVANCE 20062006
A solution when diluted with $\mathrm{H}_2 \mathrm{O}$ and boiled, it gives a white precipitate. On addition of excess $...
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance 20062006
A point object is placed at a distance of 20 cm from a thin plano-convex lens of focal length 15...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20062006
Given an isosceles triangle, whose one angle is $120^{\circ}$ and radius of its incircle $=\sqrt{3}$. Then the area of the...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20062006
Two blocks A and B of masses 2 m and m , respectively, are connected by a massless and inextensible...
JEE AdvancePhysicsEasy
View Solution→
QJEE ADVANCE 20062006
$\mathrm{B}(\mathrm{OH})_3+\mathrm{NaOH} \rightleftharpoons \mathrm{NaBO}_2+\mathrm{Na}\left[\mathrm{B}(\mathrm{OH})_4\right]+\mathrm{H}_2 \mathrm{O}$
JEE AdvanceChemistryEasy
View Solution→