Question

The point (2, 3) is a limiting point of a coaxial system of circles of which $x^2+y^2=9$ is a member. The co-ordinates of the other limiting point is given by

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

$(x-2{)}^2+(y-3{)}^2=0$

or $(x^2+y^2-9)-4x-6y+22=0$

or $(x^2+y^2-9)-\lambda (2x+3y-11)=0$ represents the family of co-axial circles.

C = $(\lambda ,\frac{3\lambda }{2})$, $r=\sqrt{{\lambda }^2+\frac{9{\lambda }^2}{4}-11\lambda +9}$