Area Under The Curves PYQs - Last 5 Years

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Practice 67 MHT CET Mathematics questions from Area Under The Curves. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

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Last 5 Years Area Under The Curves Questions

Showing 50 of 67 filtered questions.

1Area Under The Curves

The area bounded by the curves $y = |x| - 1$ and $y = -|x| + 1$ is

2Area Under The Curves

The area of the region lying in the first quadrant and bounded by the curve $y = 4x^2$, the Y-axis, and the lines $y = 2$, $y = 4$ is...

3Area Under The Curves

The area in square units of the region bounded by the curve $y = \sqrt{16 - x^2}$ and lines $x = 0, x = 4$ above the X-axis is

4Area Under The Curves

The area (in sq. units) of the region enclosed by $\{(x, y) \mid y \leq x^2, xy \leq 8, y \geq 1\}$ is...

5Area Under The Curves

If the area of the region bounded by the parabola $y^2 = 4kx$ and the line $x = k$, (where $k > 0$) is $\dfrac{128}{3}$ sq. units, then the value of $\sin^{-1}\left(\dfrac{2}{k}\right)$ is equal to...

6Area Under The Curves

The area (in square units) of the region bounded by the circle $x^2 + y^2 = 9$ and the parabola $y^2 \leq 8x$ is...

7Area Under The Curves

The area (in sq. units) of the region bounded by the curve $y = 2x - x^2$ and the X-axis is...

8Area Under The Curves

The area (in square units) bounded by the line $y = x$, the X-axis and the lines $x = -2$ and $x = 4$ is...

9Area Under The Curves

If the area bounded by $y = x^3 + ax$ (where $a > 0$), the $x$-axis and the lines $x = -2$ and $x = 1$ is $\dfrac{37}{4}$ square units, then $\ldots$

10Area Under The Curves

Area enclosed by curve $y = 2x^2$ and lines $x \geq 1,\ y \leq 4$ is ..... sq. units

11Area Under The Curves

The area of the region bounded by the lines $2x - y + 1 = 0,\ y = -1,\ y = 3$ and the y-axis is _____

12Area Under The Curves

The area of the region bounded by curves $y = \sin x, y = \cos x$ and the lines $x = 0$, $x = \dfrac{\pi}{4}$ is

13Area Under The Curves

The area of the region common to the parabolas $4y^2 = 9x$ and $3x^2 = 16y$ is...

14Area Under The Curves

The area of the region enclosed by the lines $y = 2x, 2y = x$ and $x = 2$ (in sq.units) is...

15Area Under The Curves

If the area bounded by the curve $x^2 = by$ and the lines $y = 1, y = 4$ in the first quadrant is $28$ sq. units, then the value of b is...

16Area Under The Curves

The area of the smaller region bounded by the circle $x^2 + y^2 = 4$ and the line $x = 1$ is...

17Area Under The Curves

The area of the region bounded by the curves $y = |x - 4|$, $x = 3$ and $x = 5$, and the X-axis is

18Area Under The Curves

The area of the region (in sq.units) bounded by the curve $y = 2\sqrt{1 - x^2}$ and the X-axis is _____

19Area Under The Curves

The area of the region bounded by the curve $y = x^3$ and the lines $y = 8$ and $x = 0$ is ... square units.

20Area Under The Curves

The area of the region bounded by the curve $y = 2^{kx}$ and $x = 0, x = 2$, in first quadrant is $\dfrac{2}{\log 2}$, then the value of $k$ is

21Area Under The Curves

$\int_0^3 \sqrt{9 - x^2} dx = $

22Area Under The Curves

The area of the shaded region is ... sq.units.

23Area Under The Curves

If the area enclosed between the curves $y^2 = 4kx$ and $y = kx, k > 0$ is $\dfrac{2k}{3}$ sq. units then $k = $

24Area Under The Curves

The area bounded by the curve $y = x\left|\sin\left(\dfrac{x}{2}\right)\right|$ and the X-axis between the lines $x = 0$ and $x = 4\pi$ (in square units), is....

25Area Under The Curves

The area of the region bounded by the parabola $y^2=27 x$ and the line $x=1$ is ________ sq.units.

26Area Under The Curves

The area of smaller part between the circle $x^2+y^2=4$ and the line $x=1$ is _________ sq.units.

27Area Under The Curves

If the area bounded by the curve $x^2=4 y, \mathrm{X}$-axis and the line $x=4$ is divided into equal areas by the line $x=\alpha$, then the value of $\alpha$ is …

28Area Under The Curves

The area bounded by the parabolas $y=9 x^2, y=\frac{x^2}{16}$ and the line $y=1$ is

29Area Under The Curves

The area bounded by the curve $y=4 x-x^2$ and X - axis in square units, is $\qquad$

30Area Under The Curves

The area bounded by the curve $x^2=8 y$ and the straight line $x-8 y+2=0$ is

31Area Under The Curves

The area bounded by the curve $y=x^2+3, y=x, x=3$ and $y$-axis is

32Area Under The Curves

The area bounded by the curve $x=2-y-y^2$ and the Y -axis is

33Area Under The Curves

If a curve $y=a \sqrt{x}+b x$ passes through the point $(1,2)$ and the area bounded by this curve, line $x=4$ and the X -axis is 8 sq . units, then the value of $a-b$ is

34Area Under The Curves

The area inside the parabola $y^2=4 \mathrm{a} x$, between the lines $x=\mathrm{a}$ and $x=4 \mathrm{a}$ is equal to

35Area Under The Curves

The area of the region bounded by the curve $y=|x-2|$ between $x=1, x=3$ and X -axis is ……

36Area Under The Curves

The area of the region bounded by $\frac{x^2}{9}+\frac{y^2}{4}=1$ and the line $\frac{x}{3}+\frac{y}{2}=1$ is

37Area Under The Curves

The ratio of the areas bounded by the curves $y=\cos x$ and $y=\cos 2 x$ between $x=0, x=\frac{\pi}{3}$ and X -axis is

38Area Under The Curves

The area enclosed between the curves $y^2=4 x$ and $y=|x|$ is

39Area Under The Curves

The area (in sq. units) bounded by the curves $y=(x+1)^2, y=(x-1)^2$ and the line $y=\frac{1}{4}$ is

40Area Under The Curves

The area (in sq. units), in the first quadrant bounded by the curve $y=x^2+2$ and the lines $y=x+1, x=0$ and $x=2$, is

41Area Under The Curves

The area bounded between the curves $y=a x^2$ and $x=a y^2(a>0)$ is 1 sq. units, then the value of a is

42Area Under The Curves

The area (in square units) in the first quadrant bounded by the curve $y=x^2+2$ and the lines $y=x+1, x=0$ and $x=3$, is

43Area Under The Curves

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

44Area Under The Curves

The area of the region, bounded by the parabola $y=x^2+2$ and the lines $y=x, x=0$ and $x=3$, is

45Area Under The Curves

The area of the region bounded by hyperbola $x^2-y^2=9$ and its latus rectum is

46Area Under The Curves

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

47Area Under The Curves

The area (in sq. units) of the region described by $\left\{(x, y) / y^2 \leq 2 x\right.$ and $\left.y \geq(4 x-1)\right\}$ is

48Area Under The Curves

The area (in sq. units) bounded between the parabolas $x^2=\frac{y}{4}$ and $x^2=9 y$ and the line $y=2$ is

49Area Under The Curves

The area of the region bounded by curves $y=3 x+1, y=4 x+1$ and $x=2$ is

50Area Under The Curves

The area enclosed between the parabola $y^2=4 x$ and the line $y=2 x-4$ is