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AP EAMCET · Maths · Straight Lines

In a ΔABC, 2x+3y+1=0, x+2y-2=0 are the perpendicular bisectors of its sides AB and AC respectively and if A=(3,2), then the equation of the side BC is

  1. A x+y-3=0
  2. B x-y-3=0
  3. C 2x-y-2=0
  4. D 2x+y-2=0
Verified Solution

Answer & Solution

Correct Answer

(B) x-y-3=0

Step-by-step Solution

Detailed explanation

The figure below represents the triangle and lines bisectors of its sides. The equation of AB is 3x-2y+c=0. As it passes through A(3,2), the value of c=-5. Thus, 3x-2y-5=0. The coordinates of D is (1,-1) as D is the mid-point of AB. Consider the coordinates of B are…