Question

The area bounded by the parabolas y = 4x², y = $\frac { x ^ { 2 } } { 9 }$ and the line y = 2 is -

• A. $\frac { 20 \sqrt { 2 } } { 3 }$
• B. $\frac { 10 \sqrt { 2 } } { 3 }$
• C. $\frac { 40 \sqrt { 2 } } { 3 }$
• D. None of these

Answer 1

Answer: (A)

$\frac { 20 \sqrt { 2 } } { 3 }$

Answer 2

Area = 2 $\int _ { 0 } ^ { 2 } \left( \sqrt { 9 y } - \sqrt { \frac { y } { 4 } } \right) d y$