JEE MAIN 2022 Previous Year Questions (PYQs) – Page 1 of 31
A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations
Study Stuff for MCA Examinations
Let $\vec{a} = \alpha \hat{i} + \hat{j} - \hat{k}$ and $\vec{b} = 2\hat{i} + \hat{j} - \alpha \hat{k}$, $\alpha > 0$.
If the projection of $\vec{a} \times \vec{b}$ on the vector $-\hat{i} + 2\hat{j} - 2\hat{k}$ is $30$, then $\alpha$ is equal to:
1
2
3
4
Solution
Let $E_1, E_2, E_3$ be three mutually exclusive events such that
$P(E_1)=\dfrac{2+3p}{6}$, $P(E_2)=\dfrac{2-p}{8}$ and $P(E_3)=\dfrac{1-p}{2}$.
If the maximum and minimum values of $p$ are $p_1$ and $p_2$, then $(p_1+p_2)$ is equal to:
1
2
3
4
Solution
$\tan\!\left(2\tan^{-1}\!\tfrac{1}{5}+\sec^{-1}\!\tfrac{\sqrt{5}}{2}+2\tan^{-1}\!\tfrac{1}{8}\right)$ is equal to:
1
2
3
4
Solution
The minimum value of the sum of the squares of the roots of
$x^{2}+(3-a)x+1=2a$ is:
1
2
3
4
Solution
If $z = x+iy$ satisfies $|z|-2=0$ and $|z-i|-|z+5i|=0$, then :
1
2
3
4
Solution
Let $A=\begin{bmatrix}1\\1\\1\end{bmatrix}$ and
$B=\begin{bmatrix}
9^{2} & -10^{2} & 11^{2}\\
12^{2} & 13^{2} & -14^{2}\\
-15^{2} & 16^{2} & 17^{2}
\end{bmatrix}$,
then the value of $A'BA$ is:
1
2
3
4
Solution
Let $P$ and $Q$ be any points on the curves $(x-1)^{2}+(y+1)^{2}=1$ and $y=x^{2}$, respectively.
The distance between $P$ and $Q$ is minimum for some value of the abscissa of $P$ in the interval:
1
2
3
4
Solution
If the maximum value of $a$, for which the function $f_a(x)=\tan^{-1}(2x)-3ax+7$ is non-decreasing in $\left(-\tfrac{\pi}{6},\,\tfrac{\pi}{6}\right)$, is $\bar a$, then $f_{\bar a}\!\left(\tfrac{\pi}{8}\right)$ is equal to :
1
2
3
4
Solution
Let $\beta=\lim_{x\to 0}\dfrac{\alpha x-(e^{3x}-1)}{\alpha x(e^{3x}-1)}$ for some $\alpha\in\mathbb{R}$.
Then the value of $\alpha+\beta$ is:
1
2
3
4
Solution
The value of $\log_{e}2 \, \dfrac{d}{dx}\!\big(\log_{\cos x} \csc x\big)$ at $x=\tfrac{\pi}{4}$ is:
1
2
3
4
Solution
JEE MAIN
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
View More
JEE MAIN
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
View More
Ask Your Question or Put Your Review.
