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AP EAMCET202021 Sep 2020Evening ShiftMathematicsCircleActual

The radical axis of the co-axial system of circles with limiting points ((1,2) ) and ((-2,1) ) is

Options

  1. A(x+3 y=0 )
  2. B(2 x+3 y=0 )
  3. C(3 x+2 y=0 )
  4. D(3 x+y=0 )

Correct answer

D. (3 x+y=0 )

Step-by-step solution

The radical axis of the co-axial system of circles with limiting points (A(1,2) ) and (B(-2,1) ) is the perpendicular bisector of line joining limiting points (A ) and (B ). ( ) Mid-point of (A ) and (B ) is ( (- 1 2 , 3 2 ) ) and slope of perpendicular to (A B ) is -3 ( ) Equation of required radical axis is ( aligned & y- 3 2 =-3 (x+ 1 2 ) & y- 3 2 =-3 x- 3 2 & 3 x+y =0 aligned ) Hence, option (d) is correct.

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