Statement-1: Equation of a circle on the ends of a latus rectum of the hyperbola x216−y29=1 as a diameter is 16x2+16y2±160x+319=0Statement-2: Focus of the parabola y2=20x coin cides with a focus of the hyperbola x216−y29=1

Foci (±5,0),  length of the latus rectum =2×94So the equation of a required circle is (x±5)2+y2= 942⇒16x2+y2±10x+25=81 or 16x2+16y2±160x+319=0and statement-1 is true, statement-2 is also true as the focus of  y2=20x is (5,0) but does not justify statement-1.