Question

The equation of a circle of radius 1, touching the circles x2 + y2 - 2|x| = 0 is

• A. (A) x2 + y2 + 2√3x - 2 = 0
• B. (B) x2 + y2 - 2√3y + 2 = 0
• C. (C) x2 + y2 + 2√3y + 2 = 0
• D. (D) x2 + y2 + 2√3x + 2 = 0

Answer 1

Answer: (A), (D)

(A) x2 + y2 + 2√3x - 2 = 0

Answer 2

Explanation:
The given circles are x2+y2−2x=0,x>0 and x2+y2+2x=0,x<0From the figure, the centres of the required circles will be (0,3) and (0,−3)∴ The equations of the circles are (x−0)2+(y∓3)2=12