Circle And System Of Circles Question 116

Question: The equation of the circle in the first quadrant touching each coordinate axis at a distance of one unit from the origin is

[RPET 1991; MP PET 1987, 89]

Options:

A) $ x^{2}+y^{2}-2x-2y+1=0 $

B) $ x^{2}+y^{2}-2x-2y-1=0 $

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

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

Circle is $ x^{2}+y^{2}-2x-2y+1=0 $ as centre is (1, 1) and radius = 1.