Home › UP Board Class 12 › mathematics › Application of Integrals › The area enclosed by the ellipse $x^2/a^2 + y^2/…
The area enclosed by the ellipse $x^2/a^2 + y^2/b^2 = 1$ is:
A$\pi r^2$, the area of a circle of radius $r$ on chart
B$\pi ab$, the product of axes multiplied by $\pi$
C$4\pi ab$, four times the correct value on the chart
D$ab$, the simple product without $\pi$ on the chart here
Answer & Solution
Correct answer: B. $\pi ab$, the product of axes multiplied by $\pi$
The area of the ellipse $x^2/a^2 + y^2/b^2 = 1$ is $\pi ab$.
Related questions
The area bounded by the curve $y = x|x|$, the $x$-axis and the ordinates $x = -1$ and $x =The area bounded by the curve $y = x^3$, the $x$-axis and the ordinates $x = -2$ and $x = The value of $\int_{-6}^{0} |x + 3|\,dx$ isThe area under the curve $y = x^2$ between $x = 1$, $x = 2$ and the $x$-axis isThe area bounded by the curve $y = in x$, the $x$-axis, between $x = 0$ and $x = 2\pi$ isThe area bounded by the curve $y = \cos x$, the $x$-axis, between $x = 0$ and $x = 2\pi$ iThe area of the region bounded by the line $y = 3x + 2$, the $x$-axis and the ordinates $xThe area of the region bounded by the curve $y^2 = 4x$, the $y$-axis and the line $y = 3$