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AP EAMCET202123 Aug 2021Evening ShiftMathematicsCircleActual

The circle x^2+y^2+4 x-4 y+4=0 touches...

Options

  1. AX -axis only
  2. BY -axis only
  3. CX -axis and Y -axis
  4. Dx=y

Correct answer

C. X -axis and Y -axis

Step-by-step solution

Given circle (c), x^2+y^2+4 x-4 y+4=0 On comparing with its general form x^2+y^2+2 g x+2 f y+c=0 whose center =(-g,-f) and radius = g^2+f^2-c g=2, f=-2, c=4 Center =(-2,2) and radius = 4+4-4 =2 With the help of diagram, we can see that it touches X -axis and Y -axis.

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