Circle And System Of Circles Question 47

Question: The equation to a circle whose centre lies at the point (-2, 1) and which touches the line $ 3x-2y-6=0 $ at (4, 3), is

Options:

A) $ x^{2}+y^{2}+4x-2y-35=0 $

B) $ x^{2}+y^{2}-4x+2y+35=0 $

C) $ x^{2}+y^{2}+4x+2y+35=0 $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

Centre (-2, 1), radius $ =\sqrt{36+4}=\sqrt{40} $

Hence equation of circle is $ x^{2}+y^{2}+4x-2y-35=0 $ .