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AP EAMCET202420 May 2024Evening ShiftMathematicsStraight LinesActual

If the line 2 x-3 y+5=0 is the perpendicular bisector of the line segment joining (1,-2) and ( , ) , then + =

Options

  1. A7
  2. B1
  3. C-1
  4. D-7

Correct answer

A. 7

Step-by-step solution

-15 x^2+4 x y+4 y^2=0 (5 x+2 y)(-3 x+2 y)=0 5 x+2 y=0,-3 x+2 y=0, x= On solving, we get co-ordinates of triangle aligned & (0,0), ( , -5 2 ), ( , 3 2 ) ; Area = 1 2 | array ccc 0 & 0 & 1 & -5 2 & 1 & 3 2 & 1 array |=2 ^2 & 2 ^2=200 | |=10 aligned

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