[" If "],[x=a sin theta+b cos theta,y=a cos theta-b sin theta],[" ,then "(ax+by)^(2)+(bx-ay)^(2)=]

If x=a sin theta+b cos theta,y=a cos theta-b sin theta then show that (ax+by)^(2)+(bx-ay)^(2)=(a^(2)+b^(2))^(2)

Ifx=a sin theta+b cos theta,y=a cos theta-b sin theta then show that (ax+by)^(2)+(bx-ay)^(2)=(a^(2)+b^(2))^(2)

If x=a sin theta+b cos theta and y=a cos theta -b sin theta, " prove that " x^(2)+y^(2)=a^(2)+b^(2).

x = a cos theta, y = b sin theta .

If x=2cos theta -cos 2theta ,y=2sin theta -sin 2theta ,then (dy)/(dx) =

If x=2 cos theta- cos 2 theta and y=2 sin theta - sin 2 theta, then (dy)/(dx) =

If x=2 cos theta- cos 2 theta and y=2 sin theta - sin 2 theta, then (dy)/(dx) =

If x=a cos theta + b sin theta and y=a sin theta - b cos theta. then a ^(2) +b^(2) is equal to

If x=a cos theta + b sin theta and y=a sin theta - b cos theta. then a ^(2) +b^(2) is equal to

If x=a cos theta+b sin theta,y=a sin theta-b cos theta then show that y^(2)(d^(2)y)/(dx^(2))-x(dy)/(dx)+y=0