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 $ .