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AP EAMCET202021 Sep 2020Morning ShiftMathematicsStraight LinesActual

Find the equation of the right bisector of the line segment joining the points ((3,4) ) and ((-1,2) ).

Options

  1. A(2 x+y-5=0 )
  2. B(2 x-y+5=0 )
  3. C(2 x+y+5=0 )
  4. D(2 x-y-5=0 )

Correct answer

A. (2 x+y-5=0 )

Step-by-step solution

The right angle bisector of the line segment joining points (A(3,4) ) and (B(-1,2) ) passes through the mid-point of (A ) and (B ) perpendicular to line segment (A B ). Now, the mid-point of (A(3,4) ) and (B(-1,2) ) is (M ( 3-1 2 , 4+2 2 )=M(1,3) ) and slope of right angle bisector is (=- 3-(-1) 4-2 =-2 ) ( ) Equation of required right angle bisector is ( aligned y-3 & =-2(x-1) 2 x+y & =5 or 2 x+y-5=0 aligned ) Hence, option (a) is correct.

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