Question

If A={(x,y):x2+y2=25} and B={(x,y):x2+9y2=144}; then A∩B contains​

Answer 1

x^2 + y^2 = 25

also  x² + 9y² = 144

∴  (x²/ 144) + (y² / 16) = 1

 hence A is circle with radius 5 and B is ellipse on horizontal axis.

∴ from figure A ∩ B contains four points