Question

If the circle $x^2+y^2=a^2$ intersect the hyperbola $xy=c^2$ in four points P$(x_1,y_2),Q(x_2,y_2),R(x_3,y_3),S(x_4,y_4),$ then which of the following does not hold

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

$X^2+\frac{C^4}{X^2}=a^2,4^{th}optiondoesnothold\to X^4-a^2{X}^2+c^4=0$