Question

The area bounded by the loop of curve ay² = x² (a –x) is equal to -

• A. $\frac { 4 } { 15 }$a² sq unit
• B. sq unit
• C. $\frac { 16 \mathrm { a } ^ { 2 } } { 15 }$sq unit
• D. None of these

Answer 1

Answer: (B)

sq unit

Answer 2

area =$2 \int _ { 0 } ^ { a } x \sqrt { \frac { a - x } { a } }$ ̃ Put x = a sin²q dx

= 2a sinq cos q dq

=

= ̃ 4a² $\frac { ( 2 ) } { 5.3 }$ = 8/15 a²