1
JEE Main 2025 (Online) 3rd April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
The sum $1+3+11+25+45+71+\ldots$ upto 20 terms, is equal to
A
7240
B
8124
C
7130
D
6982
2
JEE Main 2025 (Online) 3rd April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
$$ \text { The number of solutions of the equation } 2 x+3 \tan x=\pi, x \in[-2 \pi, 2 \pi]-\left\{ \pm \frac{\pi}{2}, \pm \frac{3 \pi}{2}\right\} \text { is: } $$
A
4
B
5
C
3
D
6
3
JEE Main 2025 (Online) 3rd April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Let $\mathrm{A}=\{-3,-2,-1,0,1,2,3\}$. Let R be a relation on A defined by $x \mathrm{R} y$ if and only if $0 \leq x^2+2 y \leq 4$. Let $l$ be the number of elements in R and $m$ be the minimum number of elements required to be added in R to make it a reflexive relation. Then $l+m$ is equal to

A
18
B
20
C
17
D
19
4
JEE Main 2025 (Online) 3rd April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
The radius of the smallest circle which touches the parabolas $y=x^2+2$ and $x=y^2+2$ is
A
$\frac{7 \sqrt{2}}{16}$
B
$\frac{7 \sqrt{2}}{8}$
C
$\frac{7 \sqrt{2}}{2}$
D
$\frac{7 \sqrt{2}}{4}$
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