Question

( x=a cos t+frac{b}{2} cos 2 t )
Qin
( left(frac{d y}{d x}right)=-1 times[(a sin t+b sin 2 t)(-a sin t-2) )
( frac{(a cos t+2 b cos 2 t)]}{(a sin t+b sin 2 t)^{2}} )
( =-1left[left[-a^{2} sin ^{2} t-3 a b sin t sin 2 t-2 b^{2} sin ^{2} 2 tright]-left[a^{2} cos ^{2} t+3 a b cos tright.right. )

# 17. If a curve is given by x= a cos t + cos 2t and y = a sin t + - sin 2t, then the points for which - o are given by (a) sin t = 2a² +62 3ab (b) cost=_a+262 (c) (d) 3ab tan t = a/b none of these

Solution