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AP EAMCET202023 Sep 2020Morning ShiftMathematicsCircleActual

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

Options

  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

Correct answer

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

Step-by-step solution

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 = 2 2

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