1
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
2
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
$$8{\log _e}2 + {7 \over 6}$$
3
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
4
JEE Main 2023 (Online) 29th January Evening Shift
+4
-1

The area of the region $$A = \left\{ {(x,y):\left| {\cos x - \sin x} \right| \le y \le \sin x,0 \le x \le {\pi \over 2}} \right\}$$ is

A
$$\sqrt 5 + 2\sqrt 2 - 4.5$$
B
$$1 - {3 \over {\sqrt 2 }} + {4 \over {\sqrt 5 }}$$
C
$$\sqrt 5 - 2\sqrt 2 + 1$$
D
$${3 \over {\sqrt 5 }} - {3 \over {\sqrt 2 }} + 1$$
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