Competishun Header
Competishun
Contact Us
Back

Report Issue

JEE MAIN 2021
26.08.21_S1
Question
The magnitude of vectors $\overrightarrow{\mathrm{OA}}, \overrightarrow{\mathrm{OB}}$ and $\overrightarrow{\mathrm{OC}}$ in the given figure are equal. The direction of $\overrightarrow{\mathrm{OA}}+\overrightarrow{\mathrm{OB}}-\overrightarrow{\mathrm{OC}}$ with $x$-axis will be
Question Image
Select the correct option:
A
$\tan ^{-1} \frac{(1-\sqrt{3}-\sqrt{2})}{(1+\sqrt{3}+\sqrt{2})}$
B
$\tan ^{-1} \frac{(\sqrt{3}-1+\sqrt{2})}{(1+\sqrt{3}-\sqrt{2})}$
C
$\tan ^{-1} \frac{(\sqrt{3}-1+\sqrt{2})}{(1-\sqrt{3}+\sqrt{2})}$
D
$\tan ^{-1} \frac{(1+\sqrt{3}-\sqrt{2})}{(1-\sqrt{3}-\sqrt{2})}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Solution Image
Question Tags
JEE Main
Physics
Medium
Start Preparing for JEE with Competishun
YouTube
Books
App
Tests
Filters 0
JEE Main
JEE Advance
Easy
Medium
Hard
Showing 18 questions
QJEE Advance 20092009
Let $f: R \rightarrow R$ be a continuous function which satisfies $f(x)=\int_0^x f(t) d t$. Then the value of $...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20092009
If $I_n=\int_{-\pi}^\pi \frac{\sin n x}{\left(1+\pi^x\right) \sin x} d x, n=0,1,2, \ldots$, then
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20092009
An ellipse intersects the hyperbola $2 x^2-2 y^2=1$ orthogonally. The eccentricity of the ellipse is reciprocal of that of the...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20092009
For function $f(x)=x \cos \frac{1}{x}, x \geq 1$,
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20092009
The tangent PT and the normal PN to the parabola $y^2=4 a x$ at a point $P$ on it meet...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20112011
Steel wire of lenght ' L ' at $40^{\circ} \mathrm{C}$ is suspended from the ceiling and then a mass '...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20092009
If the sum of first $n$ terms of an A.P. is $\mathrm{cn}^2$, then the sum of squares of these $n$...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance2007
Two wires each carrying a steady current I are shown in four configurations in Column I. Some of the resulting...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20112011
Four solid spheres each of diameter $\sqrt{5} \mathrm{~cm}$ and mass 0.5 kg are placed with their centers at the corners...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20112011
A boy is pushing a ring of mass 2 kg and radius 0.5 m with a stick as shown in...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20112011
A dense collection of equal number of electrons and positive ions is called neutral plasma. Certain solids containing fixed positive...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20112011
A dense collection of equal number of electrons and positive ions is called neutral plasma. Certain solids containing fixed positive...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20112011
An electron and a proton are moving on straight parallel paths with same velocity. They enter a semiinfinite region of...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20112011
A composite block is made of slabs $\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$ and E of different thermal conductivities (given in terms...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20092009
A line with positive direction cosines passes through the point $\mathrm{P}(2,-1,2)$ and makes equal angles with the coordinate axes. The...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20112011
A spherical metal shell $A$ of radius $R_A$ and a solid metal sphere $B$ of radius $R_B\left(
JEE AdvancePhysicsEasy
View Solution→
QJEE ADVANCE 20112011
The equilibrium $$ 2 \mathrm{Cu}^{\prime} \rightleftharpoons \mathrm{Cu}^{\circ}+\mathrm{Cu}^{\prime \prime} $$ in aqueous medium at $25^{\circ} \mathrm{C}$ shifts towards the left in...
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance2007
Column I describe some situations in which a small object moves. Column II describes some characteristics of these motions. Match...
JEE AdvancePhysicsEasy
View Solution→