Area Under The Curves PYQs - Last 10 Years

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Practice 83 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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Mathematics / Calculus

2019-2026

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83

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2017-2026

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Last 10 Years Area Under The Curves Questions

Showing 33 of 83 filtered questions.

1Area Under The Curves

The area of the region lying in the first quadrant by $y=4 x^2, x=0, y=2, y=4$ is

2Area Under The Curves

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

3Area Under The Curves

Area (in sq.units) lying in the first quadrant and bounded by the circle $x^2+y^2=4$ and the lines $x=0$ and $x=2$ is

4Area Under The Curves

The area (in sq. units) of the region $\left\{(x, y) / x \geq 0, x+y \leq 3, x^2 \leq 4 y\right.$ and $\left.y \leq 1+\sqrt{x}\right\}$ is

5Area Under The Curves

The area (in sq. units) of the region \(\mathrm{A}=\left\{(x, y) / \frac{y^2}{2} \leq x \leq y+4\right\}\) is

6Area Under The Curves

The area (in sq. units) bounded by the curve \(y=x|x|, \mathrm{X}\)-axis and the lines \(x=-1\) and \(x=1\) is

7Area Under The Curves

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

8Area Under The Curves

The area bounded by the curve \(y=|x-2|, x=1, x=3\) and \(X\)-axis is

9Area Under The Curves

The area (in sq. units) of the region bounded by curves \(y=3 x+1, y=4 x+1\) and \(x=3\) is

10Area Under The Curves

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

11Area Under The Curves

The area of the region bounded by the curves \(y=\mathrm{e}^x, y=\log x\) and lines \(x=1, x=2\) is

12Area Under The Curves

The area (in sq. units) of the smaller part of the circle \(x^2+y^2=\mathrm{a}^2\) cut off by the line \(x=\frac{\mathrm{a}}{\sqrt{2}}\) is

13Area Under The Curves

The area of the region bounded by the parabola \(y=x^2\) and the curve \(y=|x|\) is

14Area Under The Curves

The slope of the tangent to a curve \(y=\mathrm{f}(x)\) at \((x, \mathrm{f}(x))\) is \(2 x+1\). If the curve passes through the point \((1,2)\), then the area (in sq. units), bounded by the curve, the \(\mathrm{X}\)-axis and the line $$x=1$...

15Area Under The Curves

Area of the region bounded by the curve \(y=\sqrt{49-x^2}\) and \(\mathrm{X}\)-axis is

16Area Under The Curves

The area bounded by the \(\mathrm{X}\)-axis and the curve \(y=x(x-2)(x+1)\) is

17Area Under The Curves

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

18Area Under The Curves

Area bounded by the lines \(y=x, x=-1, x=2\) and the \(X\)-axis is

19Area Under The Curves

The area of the region bounded by the curve \(y=2 x-x^2\) and X-axis is

20Area Under The Curves

The area bounded by the parabola \(y^2=4 a x\) and its latus-rectum \(x=a\) is

21Area Under The Curves

The area of the region included between the parabolas \(y^2=8 x\) and \(x^2=8 y\), is

22Area Under The Curves

The area bounded between the curve \(x^2=y\) and the line \(y=4 x\) is

23Area Under The Curves

The area bounded by the parabola \(y^2=x\) and the line \(x+y=2\) in the first quadrant is

24Area Under The Curves

The area of the region bounded by the curve y\(^2\) = 4x and the line y = x is

25Area Under The Curves

The area bounded by the parabola \(y^2=x\), the straight line \(y=4\) and \(Y\) axis is

26Area Under The Curves

The area of the region bounded by the parabola x\(^2\) = y and the line y = x is

27Area Under The Curves

The area bounded by the parabola \(y=x^2\) and the line \(y=x\) is

28Area Under The Curves

The area of the region bounded by the curve $y=\sin x$ between $x=-\pi$ and $x=\frac{3 \pi}{2}$ is

29Area Under The Curves

The area of the region bounded by the curve \(y=4 x^3-6 x^2+4 x+1\) and the lines \(x=1, x=5\) and \(X\)-axis is

30Area Under The Curves

The area included between the parabolas \(y^2=5 x\) and \(x^2=5 y\) is

31Area Under The Curves

. Area of the region bounded by $y=\cos x, x=0$, $x=\pi$ and $X$-axis is ... sq. units.

32Area Under The Curves

The area of the region bounded by the curve $y=2 x-x^2$ and the line $y=x$ is ........... units. square

33Area Under The Curves

The area of the region enclosed between pair of the lines $x y=0$ and the lines $x y+5 x-4 y-20=0$, is .............