New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Area Under the Curves question

2023 · 10 Apr · Shift 1 · Q40

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

PYQ Library
JEE Main
Mathematics
Area Under the Curves
2023 · 10 Apr · Shift 1 · Q40

Area Under the Curves question

2023 · 10 Apr · Shift 1 · Q40

JEE MainMathematicsArea Under the CurvesNumerical+4 / −1

Let

y = p(x)

be the parabola passing through the points

( - 1,0),(0,1)

and

(1,0)

. If the area of the region

\{ (x,y):{(x + 1)^2} + {(y - 1)^2} \le 1,y \le p(x)\}

is A, then

12(\pi - 4A)

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

More from Area Under the Curves

If the area of the region ${(x, y) : x^{2} - 2 \leq y \leq x}$ is $A$ , then $6 A + 162$ is equal to .2023 · Numerical
Area of the region ${(x, y) : x^{2} + (y - 2)^{2} \leq 4, x^{2} \geq 2 y}$ is2023 · MCQ
If A is the area in the first quadrant enclosed by the curve $C : 2 x^{2} - y + 1 = 0$ , the tangent to $C$ at the point $x + y = 1$ and the line $x + y = 1$ , then the value of $60 A$ is …2023 · Numerical
The area of the region enclosed by the curve $y = x^{3}$ and its tangent at the point $(- 1, - 1)$ is :2023 · MCQ
The area of the region enclosed by the curve $f (x) = max {sin x, cos x}, - π \leq x \leq π$ and the $x$ -axis is2023 · MCQ
The area of the region ${(x, y) : x^{2} \leq y \leq x^{2} - 4, y \geq 1}$ is2023 · MCQ
If the area bounded by the curve $2 y^{2} = 3 x$ , lines $x + y = 3, y = 0$ and outside the circle $(x - 3)^{2} + y^{2} = 2$ is $A$ , then $4 (π + 4 A)$ is equal to .2023 · Numerical
The area enclosed by the curves $y^{2} + 4 x = 4$ and $y - 2 x = 2$ is :2023 · MCQ