If area bounded by the curves y2=4ax and y=mx is a23 then the value of m is
The two curves y2 = 4ax and y = mx intersect at (4am2,4am) and the area enclosed by the two curves is given by ∫4am20(√4 ax−mx)dx
∴∫4am20(√4ax−mx)dx=a23
⇒83a2m3=a23⇒m3=8⇒m=2