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 $ .