Circle And System Of Circles Question 258

Question: The circles $ x^{2}+y^{2}+4x+6y+3=0 $ and $ 2(x^{2}+y^{2})+6x+4y+C=0 $ will cut orthogonally, if C equals

[Kurukshetra CEE 1996]

Options:

A) 4

B) 18

C) 12

D) 16

Show Answer

Answer:

Correct Answer: B

Solution:

$ 2\times 2\times \frac{3}{2}+2\times 3\times 1=3+\frac{C}{2}\Rightarrow C=18 $ .