Express the polar equation `r=2costheta` in rectangular coordinates.

(b) Transfer the equation r=a cos theta of polar co-ordinates into an equation of Cartesian co-ordinates.

Find the polar coordinates of the point whose Cartesian coordinates are (1,sqrt3)

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)

Find the polar coordinates of the point whose Cartesian coordinates are (1,1/sqrt3)

(a) Transfer the equation x^2+y^2=2ax Cartesian co-ordinates into an equation of polar co-ordinates.

Suppose the circle having equation x^2+y^2=3 intersects the rectangular hyperbola x y=1 at points A ,B ,C ,a n dDdot The equation x^2+y^2-3+lambda(x y-1)=0,lambda in R , represents.

Convert the polar coordinates to its equivalent Cartesian coordinates (2,pi/2) .

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

Convert y=10 into a polar equation.

Express the equation px^(2)+r=0 in the standard quadratic equation form ax^(2)+bx+c=0(ane0) .