[" Jf "x=a cos theta+b sin theta" and "y=a sin theta-b" ase "],[" Reme "x^(2)+y^(2)=a^(2)+b^(2)]

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

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

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

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 and y = a sin theta + b cos theta, prove that x^2 + y^2 = a^2 + b^2.

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

Let 0 leq theta leq (pi)/(2) and x=X cos theta+Y sin theta y=X sin theta-Y cos theta such that x^(2)+4 x y+y^(2)=a X^(2)+b Y^(2) where a, b are constants, then