Problems On Polar Curve

Problems on Polar Curve-5:

Squaring equation (1) and taking the reciprocal we get;

Now using (2) we get;

Differentiate w.r.t θ we get;

Thus (3) becomes;

Find the angle of intersection on the curve:

Solutions:

Differentiate w.r.t θ we get;

∴ angle of intersection

Hence the curves intersects orthogonally.