Question: The area between the parabola y<sup>2</sup> = 4ax and its latus rectum is –...

Question

The area between the parabola y² = 4ax and its latus rectum is –

Answer 1

Area = $2 \int _ { 0 } ^ { a } y d x = 2 \int _ { 0 } ^ { a } \sqrt { 4 a x } d x$

$2 \times 2 \sqrt { a } \times \frac { 2 } { 3 } \left| x ^ { 3 / 2 } \right| _ { 0 } ^ { a } = \frac { 8 } { 3 } a ^ { 2 }$