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AP EAMCET201825 Apr 2018Morning ShiftMathematicsCircleActual

A B C D is a square with side 16 units and A is the origin. If the equation of the circle circumscribing the square A B C D is x 2 + y 2 = 4 k ( x + y ) , then k =

Options

  1. A2
  2. B4
  3. C16
  4. D64

Correct answer

B. 4

Step-by-step solution

Clearly, A C is the diameter. So, equation of circle in diameter form is x - 0 x - 16 + y - 0 y - 16 = 0 ⇒ x 2 - 16 x + y 2 - 16 y = 0 ⇒ x 2 + y 2 = 16 x + y Comparing with the given equation, we get k = 4 .

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