New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Area Under the Curves question

2022 · 27 Jun · Shift 1 · Q40

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Area Under the Curves
2022 · 27 Jun · Shift 1 · Q40

Area Under the Curves question

2022 · 27 Jun · Shift 1 · Q40

JEE MainMathematicsArea Under the CurvesNumerical+4 / −1

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 :

Numerical answer

More from Area Under the Curves

If the area of the region ${(x, y) : x^{\frac{2}{3}} + y^{\frac{2}{3}} \leq 1, x + y \geq 0, y \geq 0}$ is A, then $\frac{256 A}{π}$ is equal to .2022 · Numerical
The area enclosed by the curves $y = lo g_{e} (x + e^{2}), x = lo g_{e} (\frac{2}{y})$ and $x = lo g_{e} 2$ , above the line $y = 1$ is:2022 · MCQ
The area of the region S = {(x, y) : y2 $\leq$ 8x, y $\geq 2$ x, x $\geq$ 1} is2022 · MCQ
The area of the bounded region enclosed by the curve $y = 3 - x - \frac{1}{2} - ∣ x + 1∣$ and the x-axis is :2022 · MCQ
The area of the region ${(x, y) : ∣ x - 1∣ \leq y \leq 5 - x^{2}}$ is equal to :2022 · MCQ
The area enclosed by y2 = 8x and y = $2$ x that lies outside the triangle formed by y = $2$ x, x = 1, y = 2 $2$ , is equal to:2022 · MCQ
For real numbers a, b (a > b > 0), let Area ${(x, y) : x^{2} + y^{2} \leq a^{2} an d \frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} \geq 1} = 30 π$ and Area ${(x, y) : x^{2} + y^{2} \leq b^{2} an d \frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} \leq 1} = 18 π$ …2022 · Numerical
If for some $α$ > 0, the area of the region ${(x, y) : ∣ x + α ∣ \leq y \leq 2 - ∣ x ∣}$ is equal to $\frac{3}{2}$ , then the area of the region ${(x, y) : 0 \leq y \leq x + 2 α, ∣ x ∣ \leq 1}$ is equal to .2022 · Numerical