Circle And System Of Circles Question 124

Question: If the line $ y=\sqrt{3}x+k $ touches the circle $ x^{2}+y^{2}=16 $ , then k =

Options:

A) 0

B) 2

C) 4

D) 8

Show Answer

Answer:

Correct Answer: D

Solution:

$ k=\pm 4\sqrt{1+3}=\pm 8 $ .