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MHT CET202014 Oct 2020Evening ShiftMathematicsCircleActual

The equation of a circle passing through origin and making x -intercept 3 and y - intercept -5 is

Options

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

Correct answer

C. x²+y²-3 x+5 y=0

Step-by-step solution

A(3,0), B(0,-5) be the co-ordinate of ends of diameter AB. By diameter form, equation of circle is array l (x-3)(x-0)+(y-0)(y+5)=0 x²-3 x+y²+5 y=0 x²+y²-3 x+5 y=0 array

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