Circle And System Of Circles Question 175

Question: If the circles of same radius a and centers at (2, 3) and (5, 6) cut orthogonally, then a =

[EAMCET 1988]

Options:

A) 1

B) 2

C) 3

D) 4

Show Answer

Answer:

Correct Answer: C

Solution:

$ {{(C_1C_2)}^{2}}=r_1^{2}+r_2^{2}\Rightarrow 2a^{2}=18\Rightarrow a=3 $ .