Circle And System Of Circles Question 245

Question: Locus of the point, the difference of the squares of lengths of tangents drawn from which to two given circles is constant, is

Options:

A) Circle

B) Parabola

C) Straight line

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

$ t_1^{2}-t_2^{2}=k\Rightarrow S_1-S_2=k\Rightarrow $ 1st degree equation which represents a straight line parallel to radical axis $ S_1-S_2=0 $ .