y+cos theta=sin theta

If x sin theta+y cos theta=sin theta cos theta and x sin theta=y cos theta.'C' is the curve by eliminating theta, then area of a triangle form by chord of contact and pair of tangent from by (3,1) to the curve 'C' is

The locus of the point x=a(cos theta+sin theta) y=b (cos theta-sin theta) is

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

if x=cos theta,y=sin theta then (dy)/(dx)=

If the angle 2 theta is acute, then the acute angle between the pair of lines x^(2)(cos theta-sin theta)+2 x y cos theta+y^(2)(cos theta+sin theta)=0 is

If 2y cos theta =x sin theta and 2x sec theta -y cosec theta =3, then x ^(2) +4y^(2)=

If x=sqrt(tan theta)-1 and y=sqrt((cos theta-sin theta)/(sin theta+cos theta)+2 then the value of )(2+2x+x^(2))(5-4y+y^(2)) is