1
JEE Main 2022 (Online) 27th June Evening Shift
Numerical
+4
-1
Change Language

If the area of the region $$\left\{ {(x,y):{x^{{2 \over 3}}} + {y^{{2 \over 3}}} \le 1,\,x + y \ge 0,\,y \ge 0} \right\}$$ is A, then $${{256A} \over \pi }$$ is equal to __________.

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2
JEE Main 2022 (Online) 27th June Morning Shift
Numerical
+4
-1
Change Language
Let

$${A_1} = \left\{ {(x,y):|x| \le {y^2},|x| + 2y \le 8} \right\}$$ and

$${A_2} = \left\{ {(x,y):|x| + |y| \le k} \right\}$$. If 27 (Area A1) = 5 (Area A2), then k is equal to :

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3
JEE Main 2022 (Online) 24th June Evening Shift
Numerical
+4
-1
Change Language

The area (in sq. units) of the region enclosed between the parabola y2 = 2x and the line x + y = 4 is __________.

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4
JEE Main 2022 (Online) 24th June Morning Shift
Numerical
+4
-1
Change Language

Let S be the region bounded by the curves y = x3 and y2 = x. The curve y = 2|x| divides S into two regions of areas R1, R2. If max {R1, R2} = R2, then $${{{R_2}} \over {{R_1}}}$$ is equal to ______________.

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