1
JEE Main 2023 (Online) 8th April Morning Shift
+4
-1

The area of the region $$\left\{(x, y): x^{2} \leq y \leq 8-x^{2}, y \leq 7\right\}$$ is :

A
18
B
24
C
20
D
21
2
JEE Main 2023 (Online) 6th April Evening Shift
+4
-1

The area bounded by the curves $$y=|x-1|+|x-2|$$ and $$y=3$$ is equal to

A
5
B
4
C
6
D
3
3
JEE Main 2023 (Online) 1st February Evening Shift
+4
-1

The area of the region given by $$\{ (x,y):xy \le 8,1 \le y \le {x^2}\}$$ is :

A
$$16{\log _e}2 - {{14} \over 3}$$
B
$$8{\log _e}2 - {{13} \over 3}$$
C
$$16{\log _e}2 + {7 \over 3}$$
D
$$8{\log _e}2 + {7 \over 6}$$
4
JEE Main 2023 (Online) 30th January Evening Shift
+4
-1
Let $q$ be the maximum integral value of $p$ in $[0,10]$ for which the roots of the equation $x^2-p x+\frac{5}{4} p=0$ are rational. Then the area of the region $\left\{(x, y): 0 \leq y \leq(x-q)^2, 0 \leq x \leq q\right\}$ is :
A
$\frac{125}{3}$
B
243
C
164
D
25
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