New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Area Under the Curves question

2022 · 27 Jul · Shift 2 · Q28

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

PYQ Library
JEE Main
Mathematics
Area Under the Curves
2022 · 27 Jul · Shift 2 · Q28

Area Under the Curves question

2022 · 27 Jul · Shift 2 · Q28

JEE MainMathematicsArea Under the CurvesMCQ+4 / −1

The area of the region enclosed by

y \leq 4 x^{2}, x^{2} \leq 9 y

and

y \leq 4

, is equal to :

A
$\frac{40}{3}$
B
$\frac{56}{3}$
C
$\frac{112}{3}$
D
$\frac{80}{3}$

More from Area Under the Curves

Consider a curve $y = y (x)$ in the first quadrant as shown in the figure. Let the area $A_{1}$ is twice the area $A_{2}$ . Then the normal to the curve perpendicular to the line $2 x - 12 y = 15$ does NOT pass through the point. Includes diagram2022 · MCQ
Let $A_{1} = {(x, y) : ∣ x ∣ \leq y^{2}, ∣ x ∣ + 2 y \leq 8}$ and $A_{2} = {(x, y) : ∣ x ∣ + ∣ y ∣ \leq k}$ . If 27 (Area A1) = 5 (Area A2), then k is equal to :2022 · Numerical
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