Question

$A$: If origin is a limiting point of a coaxial system of which $x^2+y^2-6x-8y+1=0$ is a member then the other limiting point is $(\frac{3}{25},\frac{4}{25}).$
$R$: lf origin is a limiting point of the coaxial system containing the circle $x^2+y^2+2gx+2f+c=0$, then the other limiting point is $(\frac{-gc}{g^2+f^2}\frac{-f_C}{g^2+f^2})$

• A. Both A and R are true and R is the correct explanation of A
• B. Both A and R are true but R is not the correct explanation of A
• C. A is true but R is false
• D. A is false but R is true

Answer 1

The correct option is A Both A and R are true and R is the correct explanation of A

Assertion (A): If origin is limiting point of the coaxial system
$x^2+y^2+2gx+2fy+c=0$ then,
other limiting point is $(\frac{-gc}{g^2+f^2},\frac{-fc}{f^2+g^2})$
So, $x^2+y^2-6x-8y+1=0$
other limiting point is $(\frac{3}{25},\frac{4}{25})$
Reason (R) True
So, A and R are True and A is correct explanation fro A.