If `x = X cos theta- Y sin theta, y = X sin theta + Y cos theta and x^2 + 4 x y + y^2 = A X^2 + B Y^2 0 <= theta <= pi/2,` then

If x = X "cos" theta-Y "sin" theta, y = X "sin" theta + Y "cos" theta " and " x^(2) + 4xy + y^(2) =AX^(2) + BY^(2), 0 le theta le (pi)/(2), n in Z , then

If x=X cos theta- Y sin theta, y= X sin theta+ Y cos theta and x^(2)+4xy+y^(2)=AX^(2), B^(2),"for " 0 le theta le (pi)/(2) then (A,B)=

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.

If x cos theta + y sin theta = a , x sin theta - y cos theta = b then

If quad X cos theta-Y sin theta,y=X sin theta+Y cos theta and x^(2)+4xy+y^(2)=AX^(2)+BY^(2)0<=theta<=(pi)/(2) then

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

If x = cos theta + theta sin theta, y = sin theta - theta cos theta then (d ^(2) y)/(dx ^(2)) =

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