Circle And System Of Circles Question 181

Question: The equation of the circle touching $ x=0,y=0 $ and $ x=4 $ is

[UPSEAT 2004]

Options:

A) $ x^{2}+y^{2}-4x-4y+16=0 $

B) $ x^{2}+y^{2}-8x-8y+16=0 $

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

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

Show Answer

Answer:

Correct Answer: D

Solution:

$ {{(x-2)}^{2}}+{{(y-2)}^{2}}=4 $

$ x^{2}+4-4x+y^{2}+4-4y=4 $

$ x^{2}+y^{2}-4x-4y+4=0 $ .