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 17 of 67 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