Question:

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

Updated On: Aug 9, 2024
  • (A) x2 + y2 + 2√3x - 2 = 0
  • (B) x2 + y2 - 2√3y + 2 = 0
  • (C) x2 + y2 + 2√3y + 2 = 0
  • (D) x2 + y2 + 2√3x + 2 = 0
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The Correct Option is A, D

Solution and Explanation

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

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