1
JEE Main 2022 (Online) 28th June Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The area of the bounded region enclosed by the curve

$$y = 3 - \left| {x - {1 \over 2}} \right| - |x + 1|$$ and the x-axis is :

A
$${9 \over 4}$$
B
$${45 \over 16}$$
C
$${27 \over 8}$$
D
$${63 \over 16}$$
2
JEE Main 2022 (Online) 28th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The area of the region S = {(x, y) : y2 $$\le$$ 8x, y $$\ge$$ $$\sqrt2$$x, x $$\ge$$ 1} is

A
$${{13\sqrt 2 } \over 6}$$
B
$${{11\sqrt 2 } \over 6}$$
C
$${{5\sqrt 2 } \over 6}$$
D
$${{19\sqrt 2 } \over 6}$$
3
JEE Main 2022 (Online) 26th June Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The area of the region bounded by y2 = 8x and y2 = 16(3 $$-$$ x) is equal to:

A
$${{32} \over 3}$$
B
$${{40} \over 3}$$
C
16
D
19
4
JEE Main 2022 (Online) 26th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The area bounded by the curve y = |x2 $$-$$ 9| and the line y = 3 is :

A
$$4(2\sqrt 3 + \sqrt 6 - 4)$$
B
$$4(4\sqrt 3 + \sqrt 6 - 4)$$
C
$$8(4\sqrt 3 + 3\sqrt 6 - 9)$$
D
$$8(4\sqrt 3 + \sqrt 6 - 9)$$
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