Equation `(x-x_1)/(costheta)=(y-y_1)/(sintheta)=r` may represents-

Prove that the curves x=4 (costheta+sintheta) and y=3 (costheta-sintheta) represents an ellipse.

Prove that the curves x=4 (costheta+sintheta) and y=3 (costheta-sintheta) represents an ellipse.

Eliminate theta x=r costheta , y=r sintheta

Prove that all lines represented by the equation (2costheta+3sintheta)x+(3costheta-5sintheta)y=5costheta-2sintheta …(1) pass through a fixed point and its reflection in the line x+y=sqrt2 ? Prove that all lines through reflection point can be represented by the equation (2costheta+3sintheta)x+(3costheta-5sintheta)y= (sqrt2-1)(5costheta-2sintheta) ....(2)

Eliminate theta and phi x costheta+y sintheta=a , y costheta-x sintheta=b

For all value of theta , the lines represented by the equation (2costheta+3sin theta)x+(3costheta-5sintheta)y-(5costheta-2sintheta)=0

Eliminate theta x=a sintheta , y=a costheta

Find dy/dx , when: x=a(1-costheta),y=a(theta+sintheta)

If (x)/(a)costheta+(y)/(b)sintheta=1&(x)/(a)sintheta-(y)/(b)costheta=1 . Then

Find the equation of the curve whose parametric equation are x=1+4costheta,y=2+3sintheta,theta in Rdot