Class 12

Math

Calculus

Application of Integrals

Using the method of integration find the area of the region bounded by lines:$2x+y=4,3x2y=6$and $x3y+5=0$

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Find the area enclosed by the circle $x_{2}+y_{2}=a_{2}$.

The area bounded by the curves $y=g_{e}x$ and $y=(g_{e}x)_{2}$ is (A) $e−2$ sq. units (B) $3−e$ sq. units (C) $e$ sq. units (D) $e−1$ sq. units

The area of the circle $x_{2}+y_{2}=16$exterior to the parabola $y_{2}=6x$is(A) $34 (4π−3 )$ (B) $34 (4π+3 )$(C) $34 (8π−3 )$ (D) $34 (8π+3 )$

If $_{′}a_{prime}(a>0)$ is the value of parameter for each of which the area of the figure bounded by the straight line $y=1+a_{4}a_{2}−ax $ and the parabola $y=1+a_{4}x_{2}+2ax+3a_{2} $ is the greatest, then the value of $a_{4}$ is___

The area between $x=y_{2}$and $x=4$ is divided into two equal parts by the line $x=a$, find the value of a.

Find the area of the region bounded by the ellipse $4x_{2} +9y_{2} =1$

Find the area of the region bounded by the parabola $y=x_{2}$ and $y=∣x∣$.