Answer to Question #154603 in Calculus for sneha

Question

Trace the curve y² (a²+x²)=x²(a²-x²), a>0

Answer 1

The curve is symmetrical about both axes.

The points (0, 0) (a, 0) and(- a, 0) lie on the curve.

If x > a, y² is negative., Hence there no curve beyond x = a, x=-a.