JEE MAIN Area enclosed between the curves Definite Integration Previous Year Question Paper and Solution with PDF

Aspire's Library

A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations

JEE MAIN
Previous Year Questions

JEE MAIN
Previous Year Questions
JEE MAIN

JEE MAIN Previous Year Questions (PYQs)

JEE MAIN Area Enclosed Between The Curves Definite Integration PYQ

Qus : 1 JEE MAIN PYQ

The integral $\displaystyle \int_{0}^{\pi}\sqrt{1+4\sin^{2}\frac{x}{2}-4\sin\frac{x}{2}}\,dx$ equals:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2014 (Offline) PYQ

Solution

Qus : 2 JEE MAIN PYQ

The area of the region described by $A=\{(x,y):x^{2}+y^{2}\le 1 \text{ and } y^{2}\le 1-x\}$ is :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2014 (Offline) PYQ

Solution

Qus : 3 JEE MAIN PYQ

If the area (in sq. units) bounded by the parabola $y^{2}=4\lambda x$ and the line $y=\lambda x,\ \lambda>0$, is $\dfrac{1}{9}$, then $\lambda$ is equal to:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2019 (12 April Evening Shift) PYQ

Solution

Qus : 4 JEE MAIN PYQ

The area of the region given by $\{(x,y):\, xy\le 8,\ 1\le y\le x^{2}\}$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2023 (1 February Evening Shift) PYQ

Solution

Qus : 5 JEE MAIN PYQ

If the area of the region $\left\{(x, y):-1 \leq x \leq 1,0 \leq y \leq \mathrm{a}+\mathrm{e}^{|x|}-\mathrm{e}^{-x}, \mathrm{a}>0\right\}$ is $\frac{\mathrm{e}^2+8 \mathrm{e}+1}{\mathrm{e}}$, then the value of $a$ is

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2025 (23 January Evening Shift) PYQ

Solution

Qus : 6 JEE MAIN PYQ

A line passing through the point $A(-2,0)$ touches the parabola $P: y^2=x-2$ at the point $B$ in the first quadrant. The area of the region bounded by the line $\overline{AB}$, parabola $P$ and the $x$-axis is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2025 (4 April Evening Shift) PYQ

Solution

Qus : 7 JEE MAIN PYQ

$ \text{The area bounded by the curves } y=\lvert x^{2}-1\rvert \text{ and } y=1 \text{ is :}$

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2022 (26 July Evening Shift) PYQ

Solution

Qus : 8 JEE MAIN PYQ

The area (in square units) bounded by the curves $y=\sqrt{x}$, $2y-x+3=0$, $x$-axis, and lying in the first quadrant is :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2013 (Offline) PYQ

Solution

Qus : 9 JEE MAIN PYQ

The area (in sq. units) of the region bounded by the curve $x^2=4y$ and the straight line $x=4y-2$ is :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2019 (11 January Morning Shift) PYQ

Solution

Qus : 10 JEE MAIN PYQ

The area (in sq. units) of the region ${(x,y)\in \mathbb{R}^{2} : x \ge 0,\ y \ge 0,\ y \ge x-2 \text{ and } y \le \sqrt{x}}$ is :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2018 (15 April Morning Shift) PYQ

Solution

Qus : 11 JEE MAIN PYQ

The area bounded by the curves $y=\lvert x-1\rvert+\lvert x-2\rvert$ and $y=3$ is equal to:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2023 (6 April Evening Shift) PYQ

Solution

Qus : 12 JEE MAIN PYQ

The area of the region enclosed by $y\le 4x^{2}$, $x^{2}\le 9y$ and $y\le 4$ is equal to:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2022 (27 July Evening Shift) PYQ

Solution

Qus : 13 JEE MAIN PYQ

If the area of the region bounded by the curves $y = 4 - \dfrac{x^2}{4}$ and $y = \dfrac{x-4}{2}$ is equal to $\alpha$, then $6\alpha$ equals

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2025 (7 April Morning Shift) PYQ

Solution

Qus : 14 JEE MAIN PYQ

The area of the region ${(x, y) : x^2 + 4x + 2 \le y \le |x + 2|}$ is equal to

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2025 (24 January Morning Shift) PYQ

Solution

Qus : 15 JEE MAIN PYQ

The area (in sq. units) in the first quadrant bounded by the parabola $y=x^{2}+1$, the tangent to it at the point $(2,5)$ and the coordinate axes is :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2019 (11 January Evening Shift) PYQ

Solution

Qus : 16 JEE MAIN PYQ

If the area of the region ${(x,y):, 1+x^2 \le y \le \min{x+7,; 11-3x}}$ is $A$, then $3A$ is equal to:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2025 (7 April Evening Shift) PYQ

Solution

Qus : 17 JEE MAIN PYQ

The area of the region enclosed by the curves $y=\mathrm{e}^x, y=\left|\mathrm{e}^x-1\right|$ and $y$-axis is :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2025 (24 January Evening Shift) PYQ

Solution

Qus : 18 JEE MAIN PYQ

The area enclosed between the curves $y=x|x|$ and $y=x-|x|$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2024 (5 April Evening Shift) PYQ

Solution

Qus : 19 JEE MAIN PYQ

$ \text{The area enclosed by the curves } y=\log_{e}(x+e^{2}),; x=\log_{e}!\left(\dfrac{2}{y}\right) \text{ and } x=\log_{e}2,\ \text{above the line } y=1,\ \text{is:} $

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2022 (28 July Evening Shift) PYQ

Solution

Qus : 20 JEE MAIN PYQ

Let $g(x)=\cos x^{2}$, $f(x)=\sqrt{x}$ and $\alpha,\beta\ (\alpha<\beta)$ be the roots of the quadratic equation $18x^{2}-9\pi x+\pi^{2}=0$. Then the area (in sq. units) bounded by the curve $y=(g\circ f)(x)$ and the lines $x=\alpha$, $x=\beta$ and $y=0$ is :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2018 (Offline) PYQ

Solution

Qus : 21 JEE MAIN PYQ

Let the area of the region enclosed by the curves $y=3x$, $2y=27-3x$ and $y=3x-x\sqrt{x}$ be $A$. Then $10A$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2024 (6 April Morning Shift) PYQ

Solution

Qus : 22 JEE MAIN PYQ

The area (in sq. units) of the region bounded by the parabola $y=x^{2}+2$ and the lines $y=x+1$, $x=0$ and $x=3$, is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2019 (12 January Morning Shift) PYQ

Solution

Qus : 23 JEE MAIN PYQ

The area of the region

$\left\{(x, y):|x-1| \leq y \leq \sqrt{5-x^{2}}\right\}$ is equal to :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2022 (29 July Morning Shift) PYQ

Solution

Qus : 24 JEE MAIN PYQ

The area (in sq. units) of the region ${(x,y): 0\le y\le 2|x|+1,; 0\le y\le x^{2}+1,; |x|\le 3}$ is

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2025 (28 January Morning Shift) PYQ

Solution

Qus : 25 JEE MAIN PYQ

The area of the region bounded by the curves $x(1+y^{2})=1$ and $y^{2}=2x$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2025 (28 January Evening Shift) PYQ

Solution

Qus : 26 JEE MAIN PYQ

Area (in sq. units) of the region outside $\frac{|x|}{2} + \frac{|y|}{3} = 1$ and inside the ellipse $\frac{x^2}{4}$ + $\frac{y^2}{9} = 1$ is \[ 2x - y + 2z = 2 \] \[ x - 2y + \lambda z = -4 \] \[ x + \lambda y + z = 4 \] has no solution. Then the set $S$ :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2 September 2020 (Morning) PYQ

Solution

Qus : 27 JEE MAIN PYQ

If the area of the region $\left\{(x, y): \frac{\mathrm{a}}{x^2} \leq y \leq \frac{1}{x}, 1 \leq x \leq 2,0<\mathrm{a}<1\right\}$ is $\left(\log _{\mathrm{e}} 2\right)-\frac{1}{7}$ then the value of $7 \mathrm{a}-3$ is equal to

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2024 (6 April Evening Shift) PYQ

Solution

Qus : 28 JEE MAIN PYQ

The area enclosed by the curves $y^2 + 4x = 4$ and $y - 2x = 2$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2023 (24 January Morning Shift) PYQ

Solution

Qus : 29 JEE MAIN PYQ

Area of the region \[ \{(x, y) : x^2 + (y - 2)^2 \le 4, \; x^2 \ge 2y\} \] is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2023 (11 April Morning Shift) PYQ

Solution

Qus : 30 JEE MAIN PYQ

The area (in sq. units) of the region $A={(x,y)\in\mathbb{R}\times\mathbb{R}\mid 0\le x\le3,\ 0\le y\le4,\ y\le x^2+3x}$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2019 (8 April Morning Shift) PYQ

Solution

Qus : 31 JEE MAIN PYQ

The area (in sq. units) of the region ${(x,y): x\ge 0,\ x+y\le 3,\ x^{2}\le 4y\ \text{and}\ y\le 1+\sqrt{x}}$ is :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2017 (Offline) PYQ

Solution

Qus : 32 JEE MAIN PYQ

Consider a region R = {(x, y) $ \in $ R : x² $ \le $ y $ \le $ 2x}. if a line y = $\alpha $ divides the area of region R intotwo equal parts, then which of the following istrue?

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2 September 2020 (Evening) PYQ

Solution

Qus : 33 JEE MAIN PYQ

The area (in square units) of the region bounded by the parabola $y^{2}=4(x-2)$ and the line $y=2x-8$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2024 (30 January Morning Shift) PYQ

Solution

Qus : 34 JEE MAIN PYQ

The area (in sq. units) of the smaller portion enclosed between the curves $x^2 + y^2 = 4$ and $y^2 = 3x$, is :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2017 (8 April Morning Shift) PYQ

Solution

Qus : 35 JEE MAIN PYQ

The area (in sq. units) of the region

{ (x, y) : 0 $ \le $ y $ \le $ x² + 1, 0 $ \le $ y $ \le $ x + 1, ${1 \over 2}$ $ \le $ x $ \le $ 2 } is

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 3 September 2020 (Morning) PYQ

Solution

Qus : 36 JEE MAIN PYQ

Let $S(\alpha)={(x,y):, y^{2}\le x,\ 0\le x\le \alpha}$ and $A(\alpha)$ be the area of the region $S(\alpha)$. If for a $\lambda$, $0<\lambda<4$, $A(\lambda):A(4)=2:5$, then $\lambda$ equals:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2019 (8 April Evening Shift) PYQ

Solution

Qus : 37 JEE MAIN PYQ

$ \text{The area of the region enclosed by the curve } y=x^{3} \text{ and its tangent at the point } (-1,-1) \text{ is: } $

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2023 (12 April Morning Shift) PYQ

Solution

Qus : 38 JEE MAIN PYQ

The area of the region enclosed by the curve $f(x)=\max\{\sin x,\cos x\},\ -\pi \le x \le \pi$ and the $x$-axis is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2023 (13 April Morning Shift) PYQ

Solution

Qus : 39 JEE MAIN PYQ

The area of the region S = {(x, y) : y² $\le$ 8x, y $\ge$ $\sqrt2$x, x $\ge$ 1} is

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2022 (28 June Morning Shift) PYQ

Solution

Qus : 40 JEE MAIN PYQ

The parabola $y^{2}=4x$ divides the area of the circle $x^{2}+y^{2}=5$ in two parts. The area of the smaller part is equal to:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2024 (9 April Morning Shift) PYQ

Solution

Qus : 41 JEE MAIN PYQ

The area (in sq. units) of the part of the circle x² + y² = 36, which is outside the parabola y² = 9x, is :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2021 (24 February Morning Shift) PYQ

Solution

Qus : 42 JEE MAIN PYQ

The area (in sq. units) of the region $A = {(x, y) : x^2 \le y \le x + 2}$ is

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2019 (9 April Morning Shift) PYQ

Solution

Qus : 43 JEE MAIN PYQ

The area of the bounded region enclosed by the curve $y = 3 - \left| {x - {1 \over 2}} \right| - |x + 1|$ and the x-axis is :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2022 (28 June Evening Shift) PYQ

Solution

Qus : 44 JEE MAIN PYQ

The area of the region $\Big\{(x,y): y^{2}\le4x,\ x<4,\ \dfrac{xy(x-1)(x-2)}{(x-3)(x-4)}>0,\ x\ne3\Big\}$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2024 (31 January Morning Shift) PYQ

Solution

Qus : 45 JEE MAIN PYQ

The area of the region $\{(x,y): x^2 \le y \le |x^2-4|,\ y \ge 1\}$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2023 (13 April Evening Shift) PYQ

Solution

Qus : 46 JEE MAIN PYQ

Let $\Delta$ be the area of the region $\{(x,y)\in\mathbb{R}^{2}:\ x^{2}+y^{2}\le 21,\ y^{2}\le 4x,\ x\ge 1\}$. Then $\dfrac{1}{2}\Big(\Delta-21\sin^{-1}\!\dfrac{2}{\sqrt{7}}\Big)$ is equal to:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2023 (29 January Morning Shift) PYQ

Solution

Qus : 47 JEE MAIN PYQ

The area (in sq. units) of the region $ {(x,y) : y^{2} \ge 2x \ \text{and} \ x^{2} + y^{2} \le 4x,\ x \ge 0,\ y \ge 0} $ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2016 (Offline) PYQ

Solution

Qus : 48 JEE MAIN PYQ

Let $$A=\{(x,y)\in\mathbb{R}^{2}:\ y\ge 0,\ 2x\le y\le \sqrt{4-(x-1)^{2}}\}$$ and $$B=\{(x,y)\in\mathbb{R}\times\mathbb{R}:\ 0\le y\le \min\{2x,\ \sqrt{4-(x-1)^{2}}\}\}.$$ Then the ratio of the area of $A$ to the area of $B$ is

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2023 (29 January Morning Shift) PYQ

Solution

Qus : 49 JEE MAIN PYQ

The area enclosed by y² = 8x and y = $\sqrt2$ x that lies outside the triangle formed by y = $\sqrt2$ x, x = 1, y = 2$\sqrt2$, is equal to:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2022 (29 June Morning Shift) PYQ

Solution

Qus : 50 JEE MAIN PYQ

The area of the region enclosed by the parabolas $y=4x-x^{2}$ and $3y=(x-4)^{2}$ is equal to:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2024 (31 January Evening Shift) PYQ

Solution

Qus : 51 JEE MAIN PYQ

The area of the region \[ A=\{(x,y): |\,\cos x - \sin x\,| \le y \le \sin x,\; 0 \le x \le \tfrac{\pi}{2}\} \] is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2023 (29 January Evening Shift) PYQ

Solution

Qus : 52 JEE MAIN PYQ

The area of the region, inside the circle $ (x - 2\sqrt{3})^2 + y^2 = 12 $ and outside the parabola $ y^2 = 2\sqrt{3}x $, is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2025 (22 January Morning Shift) PYQ

Solution

Qus : 53 JEE MAIN PYQ

The area, enclosed by the curves $y = \sin x + \cos x$ and $y = \left| {\cos x - \sin x} \right|$ and the lines $x = 0,x = {\pi \over 2}$, is :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2021 (1 September Evening Shift) PYQ

Solution

Qus : 54 JEE MAIN PYQ

The area (in sq. units) of the region described by $A = {(x,y)\mid y \ge x^{2} - 5x + 4,\ x + y \ge 1,\ y \le 0}$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2016 (9 April Morning Shift) PYQ

Solution

Qus : 55 JEE MAIN PYQ

The area (in sq. units) bounded by the parabola $y=x^{2}-1$, the tangent at the point $(2,3)$ to it, and the $y$–axis is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2019 (9 January Morning Shift) PYQ

Solution

Qus : 56 JEE MAIN PYQ

The area enclosed by the curves $xy+4y=16$ and $x+y=6$ is equal to:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2024 (1 February Morning Shift) PYQ

Solution

Qus : 57 JEE MAIN PYQ

Let $q$ be the maximum integral value of $p$ in $[0,10]$ for which the roots of the equation $x^{2}-px+\dfrac{5}{4}p=0$ are rational. Then the area of the region $\left\{(x,y): 0\le y\le (x-q)^{2},\ 0\le x\le q\right\}$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2023 (30 January Evening Shift) PYQ

Solution

Qus : 58 JEE MAIN PYQ

The area of the region ${(x,y): |x-y|\le y \le 4\sqrt{x}}$ is

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2025 (3 April Evening Shift) PYQ

Solution

Qus : 59 JEE MAIN PYQ

The area of the region given by

$A=\left\{(x, y): x^{2} \leq y \leq \min \{x+2,4-3 x\}\right\}$ is :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2022 (25 July Morning Shift) PYQ

Solution

Qus : 60 JEE MAIN PYQ

The area (in sq. units) of the region bounded by the curves $y=2^{x}$ and $y=|x+1|$, in the first quadrant, is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2019 (10 April Evening Shift) PYQ

Solution

Qus : 61 JEE MAIN PYQ

The area of the region $A=\{(x,y): 0\le y\le x|x|+1 \text{ and } -1\le x\le 1\}$ (in sq. units) is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2019 (9 January Evening Shift) PYQ

Solution

Qus : 62 JEE MAIN PYQ

The area of the region enclosed by the curves $y=x^2-4 x+4$ and $y^2=16-8 x$ is :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2025 (22 January Evening Shift) PYQ

Solution

Qus : 63 JEE MAIN PYQ

The area (in sq. units) of the region described by $\{(x,y):y^{2}\le 2x \text{ and } y\ge 4x-1\}$ is :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2015 (Offline) PYQ

Solution

Qus : 64 JEE MAIN PYQ

One of the points of intersection of the curves $y=1+3x-2x^2$ and $y=\dfrac{1}{x}$ is $\left(\dfrac{1}{2},\,2\right)$. Let the area of the region enclosed by these curves be $\dfrac{1}{24}\big(l\sqrt{5}+m\big)-n\ln(1+\sqrt{5})$, where $l,m,n\in\mathbb{N}$. Then $l+m+n$ is equal to:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2024 (4 April Morning Shift) PYQ

Solution

Qus : 65 JEE MAIN PYQ

If the area enclosed between the curves $y = kx^2$ and $x = ky^2$, $(k > 0)$, is $1$ square unit, then $k$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2019 (10 January Morning Shift) PYQ

Solution

Qus : 66 JEE MAIN PYQ

The odd natural number $a$, such that the area of the region bounded by $y=1$, $y=3$, $x=0$, $x=y^{a}$ is $\dfrac{364}{3}$, is equal to :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2022 (26 July Morning Shift) PYQ

Solution

Qus : 67 JEE MAIN PYQ

If the area (in sq. units) of the region ${(x,y):, y^{2}\le 4x,; x+y\le 1,; x\ge 0,; y\ge 0}$ is $a\sqrt{2}+b$, then $a-b$ is equal to:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2019 (12 April Morning Shift) PYQ

Solution

JEE MAIN

Online Test Series,
Information About Examination,
Syllabus, Notification
and More.

Click Here to
View More

JEE MAIN

Online Test Series,
Information About Examination,
Syllabus, Notification
and More.

Click Here to
View More

Ask Your Question or Put Your Review.

Please provide more information - at least 10 characters

Feedback

Info.

Information

Aspire's Library

JEE MAIN Previous Year Questions (PYQs)

JEE MAIN Area Enclosed Between The Curves Definite Integration PYQ

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

JEE MAIN

JEE MAIN

Info.

Confirm Delete

Edit