JEE MAIN 2022 Previous Year Questions (PYQs) – Page 4 of 31
A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations
Study Stuff for MCA Examinations
Showing 308 questions
Let a function $f: \mathbb{R} \rightarrow \mathbb{R}$ be defined as :
$f(x)= \begin{cases}\int\limits_{0}^{x}(5-|t-3|) d t, & x>4 \\ x^{2}+b x & , x \leq 4\end{cases}$
where $\mathrm{b} \in \mathbb{R}$. If $f$ is continuous at $x=4$, then which of the following statements is NOT true?
1
2
3
4
Solution
The domain of the function $f(x)=\sin^{-1}!\big([,2x^{2}-3,]\big)+\log_{2}!\left(\log_{1/2}(x^{2}-5x+5)\right)$, where $[,\cdot,]$ is the greatest integer function, is:
1
2
3
4
Solution
If $\alpha, \beta$ are the roots of the equation
$x^{2} - \left(5 + 3\sqrt{\log_{3}5} - 5\sqrt{\log_{5}3}\right)x + 3\left(3^{\tfrac{1}{3}\log_{3}5} - 5^{\tfrac{2}{3}\log_{5}3} - 1\right) = 0$,
then the equation, whose roots are $\alpha + \tfrac{1}{\beta}$ and $\beta + \tfrac{1}{\alpha}$, is:
1
2
3
4
Solution
If for $p\ne q\ne 0$, the function $f(x)=\dfrac{\sqrt[7]{p(729+x)}-3}{\sqrt[3]{729+qx}-9}$ is continuous at $x=0$, then:
1
2
3
4
Solution
Let $A = \{ z \in C:1 \le |z - (1 + i)| \le 2\} $
and $B = \{ z \in A:|z - (1 - i)| = 1\} $. Then, B :
1
2
3
4
Solution
Let $f(x)=2+|x|-|x-1|+|x+1|,;x\in\mathbb{R}$.
Consider
(S1): $f'!\left(-\tfrac{3}{2}\right)+f'!\left(-\tfrac{1}{2}\right)+f'!\left(\tfrac{1}{2}\right)+f'!\left(\tfrac{3}{2}\right)=2$
(S2): $\displaystyle \int_{-2}^{2} f(x),dx = 12$
1
2
3
4
Solution
Let the sum of an infinite G.P., whose first term is $a$ and the common ratio is $r$, be $5$. Let the sum of its first five terms be $\dfrac{98}{25}$. Then the sum of the first $21$ terms of an A.P., whose first term is $10ar$, $n^{\text{th}}$ term is $a_n$ and the common difference is $10ar^{2}$, is equal to:
1
2
3
4
Solution
The surface area of a balloon of spherical shape being inflated, increases at a constant rate. If initially, the radius of balloon is 3 units and after 5 seconds, it becomes 7 units, then its radius after 9 seconds is :
1
2
3
4
Solution
The area of the region enclosed by $y\le 4x^{2}$, $x^{2}\le 9y$ and $y\le 4$ 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.
