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TS EAMCET · Maths · Straight Lines

If the equations of the perpendicular bisectors of the sides \(A B\) and \(A C\) of a \(\triangle A B C\) are \(x-y+5=0\) and \(x+2 y=0\) respectively and if \(A\) is \((1,-2)\), then the equation of the perpendicular bisector of the side \(B C\) is

  1. A \(3 x+3 y+5=0\)
  2. B \(9 x-23 y+40=0\)
  3. C \(6 x+15 y=5\)
  4. D \(23 x-14 y+100=0\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(23 x-14 y+100=0\)

Step-by-step Solution

Detailed explanation

Equation of the perpendicular bisector of the sides \(A B\) and \(A C\) of \(\triangle A B C\) are \(x-y+5=0\) and \(x+2 y=0\) \(B\) is the image of \(A\) with respect to line…