Competishun Header

Report Issue

JEE Advance 2011
Paper-1
Multiple correct answers - Select all that apply
Question
The vector(s) which is/are coplanar with vectors $\hat{i}+\hat{j}+2 \hat{k}$ and $\hat{i}+2 \hat{j}+\hat{k}$, and perpendicular to the vector $\hat{i}+\hat{j}+\hat{k}$ is/are
Select ALL correct options:
A
$\hat{\mathrm{j}}-\hat{\mathrm{k}}$
B
$-\hat{i}+\hat{j}$
C
$\hat{i}-\hat{j}$
D
$-\hat{\mathrm{j}}+\hat{\mathrm{k}}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
⚠ Partially correct. Some answers are missing.
Solution
Solution Image
Question Tags
JEE Advance
Mathematics
Easy
Start Preparing for JEE with Competishun
Filters 0
JEE Main
JEE Advance
Easy
Medium
Hard
Showing 18 questions
QJEE Advance 20082008
Let $a, b, c, p, q$ be real numbers. Suppose $\alpha, \beta$ are the roots of the equation $...
JEE AdvanceMathematicsEasy
View Solution
QJEE Advance 20082008
STATEMENT-1: $\quad \mathrm{Pb}^{4+}$ compounds are stronger oxidizing agents than $\mathrm{Sn}^{4+}$ compounds. and STATEMENT-2: The higher oxidation states for the group...
JEE AdvanceChemistryEasy
View Solution
QJEE Advance 20082008
STATEMENT-1: Bromobenzene upon reaction with $\mathrm{Br}_2 / \mathrm{Fe}$ gives 1,4 - dibromobenzene as the major product. and STATEMENT-2: In bromobenzene,...
JEE AdvanceChemistryEasy
View Solution
QJEE ADVANCE 20112011
The number of distinct real roots of $x^4-4 x^3+12 x^2+x-1=0$ is
JEE AdvanceMathematicsEasy
View Solution
QJEE ADVANCE 20112011
Let $\omega=\mathrm{e}^{\mathrm{i} \mathrm{x} / 3}$, and $\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{x}, \mathrm{y}, \mathrm{z}$ be non-zero complex numbers such that $$ \begin{aligned}...
JEE AdvanceMathematicsEasy
View Solution
QJEE Advance 20082008
STATEMENT-1: The plot of atomic number ( y -axis) versus number of neutrons ( x -axis) for stable nuclei shows...
JEE AdvanceChemistryEasy
View Solution
QJEE ADVANCE 20112011
The straight line $2 x-3 y=1$ divides the circular region $x^2+y^2 \leq 6$ into two parts. If $$ S=\left\{\left(2, \frac{3}{4}\right),\left(\frac{5}{2},...
JEE AdvanceMathematicsEasy
View Solution
QJEE ADVANCE 20112011
Let $\mathrm{a}=-\hat{\mathrm{i}}-\hat{\mathrm{k}}, \overrightarrow{\mathrm{b}}=-\hat{\mathrm{i}}+\mathrm{j}$ and $\dot{\mathrm{c}}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+3 \hat{\mathrm{k}}$ be three given vectors. If $\dot{\mathrm{r}}$ is a vector such that $...
JEE AdvanceMathematicsEasy
View Solution
QJEE Advance 20082008
STATEMENT-1: For every chemical reaction at equilibrium, standard Gibbs energy of reaction is zero. and STATEMENT-2: At constant temperature and...
JEE AdvanceChemistryEasy
View Solution
QJEE Advance 20082008
Let the function $\mathrm{g}:(-\infty, \infty) \rightarrow\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$ be given by $\mathrm{g}(\mathrm{u})=2 \tan ^{-1}\left(\mathrm{e}^{\mathrm{u}}\right)-\frac{\pi}{2}$. Then, g is
JEE AdvanceMathematicsEasy
View Solution
QJEE ADVANCE 20112011
Let L be a normal to the parabola $\mathrm{y}^2=4 \mathrm{x}$. If L passes through the point $(9,6)$, then L is...
JEE AdvanceMathematicsEasy
View Solution
QJEE ADVANCE 20112011
Let E and F be two independent events. The probability that exactly one of them occurs is $\frac{11}{25}$ and the...
JEE AdvanceMathematicsEasy
View Solution