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AP EAMCET2009MathematicsCircle

The equations of the circle which pass through the origin and makes intercepts of lengths 4 and 8 on the x and y -axes respectively are

Options

  1. Ax^2+y^2 4 x 8 y=0
  2. Bx^2+y^2 2 x 4 y=0
  3. Cx^2+y^2 8 x 16 y=0
  4. Dx^2+y^2 x y=0

Correct answer

A. x^2+y^2 4 x 8 y=0

Step-by-step solution

In O A C, O C^2=2^2+4^2=20 Required equation of circle is aligned & (x 2)^2+(y 4)^2=20 & x^2+y^2 4 x 8 y=0 aligned

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