Circle And System Of Circles Question 330
Question: If the length of tangent drawn from the point (5, 3) to the circle $ x^{2}+y^{2}+2x+ky+17=0 $ be 7, then k =
Options:
A) 4
B) - 4
C) - 6
D) 13/2
Show Answer
Answer:
Correct Answer: B
Solution:
According to the condition, $ \sqrt{{{(5)}^{2}}+{{(3)}^{2}}+2(5)+k(3)+17}=7 $
$ \Rightarrow $ $ 61+3k=49\Rightarrow k=-4 $ .