A B C D is a square with side 16 units and A is the origin. If the equation of the circle circumscribing the…

ABCD is a square with side 16 units and A is the origin. If the equation of the circle circumscribing the square ABCD is x2+y2=4k(x+y), then k=
  1. 2
  2. 4
  3. 16
  4. 64

Solution

Clearly, AC is the diameter. So, equation of circle in diameter form is

x-0x-16+y-0y-16=0

⇒x2-16x+y2-16y=0

⇒x2+y2=16x+y

Comparing with the given equation, we get

k=4.

Asked in: AP EAMCET 2018 (25 Apr Shift 1)

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