Dear Student,
the equation of any tangent to ellipse is
(x/a)cos theta +(y/b)sin theta =1
here, the tangent meets the R(a/ cos theta ,0) and S(0, b/sin theta)
or, a/cos theta= (RS^2)/(PS*QS)
=>also (RS^2)/(PS*QS)= b/sin theta
cos^2 theta + sin^2 theta = (a^2 + b^2)/ (RS^2)/(PS*QS)
- (RS^2)/(PS*QS)^2 RS^2)/(PS*QS)^2
so, RS^2)/(PS*QS)^2= sqrt(RS^2)/(PS*QS)^2) [Ans]
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)
