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Area between Two Curves

Area bounded ...

Question

Area bounded between the curves $y = \sqrt{4 - x^{2}}$ and $y^{2} = 3 | x |$ is/are?

A

\frac{π - 1}{\sqrt{3}}

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B

\frac{2 π - 1}{3 \sqrt{3}}

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C

\frac{2 π - \sqrt{3}}{3}

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D

\frac{2 π - \sqrt{3}}{3 \sqrt{3}}

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Solution

The correct option is C $\frac{2 π - \sqrt{3}}{3}$

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Similar questions

Q. Area bounded between the curves

y = \sqrt{4 - x^{2}}

y^{2} = 3 | x |

Q. Area enclosed between the curves

| y | = 1 - x^{2}

x^{2} + y^{2} = 1

Q. The area of the region bounded by the curves

| x + y | \leq 2, | x - y | \leq 2

2 x^{2} + 6 y^{2} \geq 3

Q. Area enclosed by

x^{2} = 4 y

y = \frac{8}{x^{2} + 4}

Q. Match the following:

List-I	List-II
1. Area bounded by $y^{2} = 4 a x$ and $x^{2} = 4 a y$ is	a. $\frac{8 a^{2}}{3}$
2. Area bounded by $y^{2} = 4 a x$ and its latusrectum is	b. $\frac{a^{2}}{6}$
3. Area bounded by $x = 2 c o s θ, y = 2 s i n θ$ is	c. $\frac{16 a^{2}}{3}$
4. Area bounded by $\sqrt{x} + \sqrt{y} = \sqrt{a}$ is	d. $2 π$

The correct match is

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