If `x= acos theta +bsin theta` and `y =bcos theta -asin theta` then remove `theta`

If a cos theta +bsin theta=x and a sin theta-b cos theta = y then prove that a^2+b^2=x^2+y^2

If x=acos theta+bsin theta and y=a sin theta-bcos theta , then show that y^(2)(d^(2)y)/(dx^(2))-x(dy)/(dx)+y=0

Find the area of the (i) circle x =a cos theta , y=a sin theta (ii) ellips x=acos theta ,y=bsin theta by the method of integration

If acos theta+bsin theta=4 and a sin theta-b cos theta=3 ,then find the value of a^(2)+b^(2)

If a cos theta + b sin theta = p and asin theta - bcos theta = q , then the relation between a, b, p and q is____

If x=a cos theta ,y=asin theta ,then (dy)/(dx)=

If x=acos^30theta,y=bsin^30theta, find dy/dx .