1
JEE Main 2023 (Online) 30th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If $P$ is a $3 \times 3$ real matrix such that $P^T=a P+(a-1) I$, where $a>1$, then :
A
$|A d j P|=1$
B
$|A d j P|>1$
C
$|A d j P|=\frac{1}{2}$
D
$P$ is a singular matrix
2
JEE Main 2023 (Online) 30th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
The parabolas : $a x^2+2 b x+c y=0$ and $d x^2+2 e x+f y=0$ intersect on the line $y=1$. If $a, b, c, d, e, f$ are positive real numbers and $a, b, c$ are in G.P., then :
A
$\frac{d}{a}, \frac{e}{b}, \frac{f}{c}$ are in A.P.
B
$\frac{d}{a}, \frac{e}{b}, \frac{f}{c}$ are in G.P.
C
$d, e, f$ are in A.P.
D
$d, e, f$ are in G.P.
3
JEE Main 2023 (Online) 30th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
Let $\vec{a}$ and $\vec{b}$ be two vectors, Let $|\vec{a}|=1,|\vec{b}|=4$ and $\vec{a} \cdot \vec{b}=2$. If $\vec{c}=(2 \vec{a} \times \vec{b})-3 \vec{b}$, then the value of $\vec{b} \cdot \vec{c}$ is :
A
$-48$
B
$-60$
C
$-84$
D
$-24$
4
JEE Main 2023 (Online) 30th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
The range of the function $f(x)=\sqrt{3-x}+\sqrt{2+x}$ is :
A
$[2 \sqrt{2}, \sqrt{11}]$
B
$[\sqrt{5}, \sqrt{13}]$
C
$[\sqrt{2}, \sqrt{7}]$
D
$[\sqrt{5}, \sqrt{10}]$
JEE Main Papers
2023
2021
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12