If `x=Xcos theta-Ysin theta,y=Xsin theta+Ycos theta` and `x^2+4x y+y^2=A X^2+B Y^2, 0lt=thetalt=pi/2` 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

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

Let 0<=theta<=(pi)/(2) and x=X cos theta+Y sin theta,y=X sin theta-Y cos theta such that x^(2)+2xy+y^(2)=aX^(2)+bY^(2), where a and b are constant,then

If 2y cos theta= xsin theta and 2x sec theta-y cosec theta=3 then x^2/4+y^2=

Let 0<=theta<=(pi)/(2)x=X cos theta+Y sin thetay=X sin theta-Y cos theta such that x^(2)+4xy+y^(2)=aX^(2)+bY^(2) where a,b are constants such that

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 without theta, y = X without theta + Y cos thetaunderset and x ^ (2) + 4xy + y ^ (2) = AX ^ (2) + BY ^ (2), 0 <= theta <= (pi) / (2) then

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)