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COMEDK2019MathematicsCircle

The point (5,-7) lies outside the circle

Options

  1. Ax²+y²-8 x=0
  2. Bx²+y²-5 x+7 y=0
  3. Cx²+y²-5 x+7 y-1=0
  4. Dx²+y²-8 x+7 y-2=0

Correct answer

A. x²+y²-8 x=0

Step-by-step solution

Let S₁: x²+y²-8 x=0 S₂: x²+y²-5 x+7 y=0 S₃: x²+y²-5 x+7 y-1=0 S₄: x²+y²-8 x+7 y-2=0 Now, at (5,-7) aligned &S₁=25+49-40=34>0 &S₂=25+49-25-49=0 &S₃=25+49-25-49-1=-1 < 0 &S₄=25+49-40-49-2=-17 < 0 aligned (5,-7) lies outside the circle S₁ .

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