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AP EAMCET202120 Aug 2021Evening ShiftMathematicsCircleActual

The points where the circle x 2 + y 2 - 3 x - 4 y + 2 = 0 cuts the x -axis are

Options

  1. A( 1 , 2 ) & ( 2 , 0 )
  2. B( 2 , 0 ) & ( 3 , 0 )
  3. C( 0 , 2 ) & ( 0 , 1 )
  4. D( 1 , 0 ) & ( 2 , 0 )

Correct answer

D. ( 1 , 0 ) & ( 2 , 0 )

Step-by-step solution

Given that: x 2 + y 2 - 3 x - 4 y + 2 = 0 Circle cuts x - a x i s ,   So put y = 0 x 2 - 3 x + 2 = 0 ⇒ x - 1 x - 2 = 0 ⇒ x = 1 , 2 Points are 1 , 0   &   2 , 0 .

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