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 $ .