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AP EAMCET · Maths · Circle

The equation of a circle which touches the x-axis and whose centre is 1,2 is

  1. A (x-2)2+(y-1)2=4
  2. B (x-1)2+(y-2)2=4
  3. C (x-1)2+(y+2)2=4
  4. D (x+2)2+(y-1)2=4
Verified Solution

Answer & Solution

Correct Answer

(B) (x-1)2+(y-2)2=4

Step-by-step Solution

Detailed explanation

If centre is (1,2) and circle is touching x-axis, then radius is y-coordinate of centre. ⇒r=2 ⇒(x-1)2+(y-2)2=22