Question

The positive value of parameter ‘a’for which the area of figure bounded by y = sin ax, y = 0, x = $\frac { \pi } { \mathrm { a } }$ and x = $\frac { \pi } { 3 a }$ is

3 unit, is

• A. 1
• B. $\frac { 1 } { 3 }$
• C. $\frac { 1 } { 2 }$
• D. $\frac { 1 } { 4 }$

Answer 1

Answer: (C)

$\frac { 1 } { 2 }$

Answer 2

A = $\left| \int _ { \pi / a } ^ { \pi / 3 a } \sin a x d x \right|$ =

= $\left| - \frac { 1 } { \mathrm { a } } \left( \cos \frac { \pi } { 3 } - \cos \pi \right) \right|$ = =