If `(x-a)costheta+ysintheta=(x-a)cosphi+ysinphi=a` and `tan(theta/2)-tan(phi/2)=2b` ,then (a) `y^2=2a x-(1-b^2)x^2` (b)`tan(theta/2)=1/x(y+b x)` (c)`y^2=2b x-(1-a^2)x^2` (d)`tan(phi/2)=1/x(y-b x)`

If (x-a)cos theta+y sin theta=(x-a)cos phi+y sin phi=a and tan((theta)/(2))-tan((phi)/(2))=2b, then (a)y^(2)=2ax-(1-b^(2))x^(2)(b)tan((theta)/(2))=(1)/(x)(y+bx)(c)y^(2)=2bx-(1-a^(2))x^(2)(d)tan((phi)/(2))=(1)/(x)(y-bx)

If x costheta+ysintheta=xcosphi+ysinphi then show that y=x tan ((theta+phi)/2)

If (acosthetasecphi-x)/(asin(theta+phi))=(y-bsinthetasecphi)/(bcos(theta+phi))=tanphi show that x^2/a^2+y^2/b^2=1

If x = a sec theta cos phi, y = b sec thetasin phi and z = c tan theta , then the value of x^2/a^2 + y^2/b^2 -z^2 /c^2 is

If a=x sec theta + y tan theta , b = x tan theta + y sec theta then x^(2)-y^(2)=

If:x/a costheta+y/b sin theta=1 and x/a sin theta-y/b cos theta=1, Prove that : (x^2)/(a^2)+(y^2)/(b^2)=2

If x=a(sec theta + tan theta)^(2) and y=b(sec theta- tan theta)^(4) , then x^(4)y^(2)=