Circle And System Of Circles Question 199

Question: The polars drawn from (-1, 2) to the circles $ S_1\equiv x^{2}+y^{2}+6y+7=0 $ and $ S_2\equiv x^{2}+y^{2}+6x+1=0 $ , are

[RPET 2002]

Options:

A) Parallel

B) Equal

C) Perpendicular

D) Intersect at a point

Show Answer

Answer:

Correct Answer: D

Solution:

The equation of polar to circle (i) is $ x-5y+13=0 $ and equation of polar to circle (ii) is $ x+y-1=0 $ Clearly, polars intersect at a point.