E1 is inscribed in rectangle. Coordinate of major axis is (±3,0). Coordinate of minor axis is (0,±2). The dimension of rectangle are 6 and 4 . Cogrdinate of rectangles are (±3,±2). E2 passes through (3,2)
9
a2
+
4
b2
=1 E2 also passes through (0,4),
16
b2
=1 ⇒ b2=16⇒b=±4 Now, substitute b2=16 is eq.(i)