New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Area Under the Curves question

2024 · 27 Jan · Shift 2 · Q55

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

PYQ Library
JEE Main
Mathematics
Area Under the Curves
2024 · 27 Jan · Shift 2 · Q55

Area Under the Curves question

2024 · 27 Jan · Shift 2 · Q55

JEE MainMathematicsArea Under the CurvesNumerical+4 / −1

If the area of the region

\left\{(x, y): 0 \leq y \leq \min \left\{2 x, 6 x-x^2\right\}\right\}

is

\mathrm{A}

, then

12 \mathrm{~A}

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

More from Area Under the Curves

The area (in sq. units) of the part of the circle $x^{2} + y^{2} = 169$ which is below the line $5 x - y = 13$ is $\frac{π α}{2 β} - \frac{65}{2} + \frac{α}{β} sin^{- 1} (\frac{12}{13})$ , where $α, β$ are coprime…2024 · Numerical
If the points of intersection of two distinct conics $x^{2} + y^{2} = 4 b$ and $\frac{x ^{2}}{16} + \frac{y ^{2}}{b ^{2}} = 1$ lie on the curve $y^{2} = 3 x^{2}$ , then $33$ times the area of the rectangle formed by the intersection points is …2024 · Numerical
Let the area of the region ${(x, y) : 0 \leq x \leq 3, 0 \leq y \leq min {x^{2} + 2, 2 x + 2}}$ be A. Then $12 A$ is equal to .2024 · Numerical
The area (in square units) of the region bounded by the parabola $y^{2} = 4 (x - 2)$ and the line $y = 2 x - 8$ , is :2024 · MCQ
The area of the region enclosed by the parabola $(y - 2)^{2} = x - 1$ , the line $x - 2 y + 4 = 0$ and the positive coordinate axes is .2024 · Numerical
The area of the region ${(x, y) : y^{2} \leq 4 x, x 0, x e q 3}$ is2024 · MCQ
The area of the region enclosed by the parabolas $y = 4 x - x^{2}$ and $3 y = (x - 4)^{2}$ is equal to :2024 · MCQ
Let $A$ be the area bounded by the curve $y = x ∣ x - 3∣$ , the $x$ -axis and the ordinates $x = - 1$ and $x = 2$ . Then $12 A$ is equal to .2023 · Numerical