1. Find the equation of the ellipse with centre the origin and foci at points (-5root3,0) and (5root3,0), given that it passes through the point (8,3)
Ans:x^2 +4y^2=100
2. P is the point (acostheta,bsintheta) on the ellipse E: [general form of ellipse eqn] with eccentricity e and foci S,S'...