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COMEDK2013MathematicsCircle

The circle x²+y²-8 x+4 y+4=0 touches

Options

  1. AX -axis
  2. BY -axis
  3. Cboth axes
  4. Dneither X -axis nor Y -axis.

Correct answer

B. Y -axis

Step-by-step solution

We have, x²+y²-8 x+4 y+4=0 (x²-8 x+16 )+ (y²+4 y+4 )=16 (x-4)²+(y+2)²=4² Centre is (4,-2) and radius is 4 . Hence, given circle touches Y -axis.

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