JEE MAIN 2023 Previous Year Questions (PYQs) – Page 4 of 34
A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations
Study Stuff for MCA Examinations
Showing 332 questions
Let $\vec{a}=2\hat{i}+3\hat{j}+4\hat{k}$, $\vec{b}=\hat{i}-2\hat{j}-2\hat{k}$ and $\vec{c}=-\hat{i}+4\hat{j}+3\hat{k}$.
If $\vec{d}$ is a vector perpendicular to both $\vec{b}$ and $\vec{c}$, and $\vec{a}\cdot\vec{d}=18$, then $\lvert \vec{a}\times \vec{d}\rvert^{2}$ is equal to:
1
2
3
4
Solution
Let $a_{1},a_{2},a_{3},\ldots,a_{n}$ be $n$ positive consecutive terms of an arithmetic progression.
If $d>0$ is its common difference, then
\[
\lim_{n\to\infty}\sqrt{\frac{d}{n}}
\left(\frac{1}{\sqrt{a_{1}}+\sqrt{a_{2}}}
+\frac{1}{\sqrt{a_{2}}+\sqrt{a_{3}}}
+\cdots
+\frac{1}{\sqrt{a_{n-1}}+\sqrt{a_{n}}}\right)
\]
is:
1
2
3
4
Solution
The sum of all the roots of the equation $\lvert x^{2}-8x+15\rvert-2x+7=0$ is:
1
2
3
4
Solution
If the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of
$\left(\sqrt[4]{2}+\dfrac{1}{\sqrt[4]{3}}\right)^{n}$ is $\sqrt{6}:1$, then the third term from the beginning is:
1
2
3
4
Solution
If $2x^{y}+3y^{x}=20$, then $\dfrac{dy}{dx}$ at $(2,2)$ is equal to:
1
2
3
4
Solution
All the letters of the word PUBLIC are written in all possible orders and these words are written as in a dictionary with serial numbers. Then the serial number of the word PUBLIC is :
1
2
3
4
Solution
If the coefficient of $x^{7}$ in $\left(a x^{2}+\dfrac{1}{2 b x}\right)^{11}$ and $x^{-7}$ in $\left(a x-\dfrac{1}{3 b x^{2}}\right)^{11}$ are equal, then:
1
2
3
4
Solution
The area bounded by the curves $y=\lvert x-1\rvert+\lvert x-2\rvert$ and $y=3$ is equal to:
1
2
3
4
Solution
Let $a\ne b$ be two non-zero real numbers. Then the number of elements in the set
$X=\{\, z\in\mathbb{C} : \operatorname{Re}(a z^{2}+bz)=a \text{ and } \operatorname{Re}(b z^{2}+a z)=b \,\}$ is equal to:
1
2
3
4
Solution
Let $P$ be a square matrix such that $P^{2}=I-P$.
For $\alpha,\beta,\gamma,\delta\in\mathbb{N}$, if
$P^{\alpha}+P^{\beta}=\gamma I-29P$ and $P^{\alpha}-P^{\beta}=\delta I-13P$,
then $\alpha+\beta+\gamma-\delta$ is equal to:
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.
