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AP EAMCET202421 May 2024Evening ShiftMathematicsStraight LinesActual

P is a point on x+y+5=0 , whose perpendicular distance from 2 x+3 y+3=0 is 13 , then the coordinates of P are:

Options

  1. A(20,-25)
  2. B(1,-6)
  3. C(-6,1)
  4. D( 13 ,-5- 13 )

Correct answer

B. (1,-6)

Step-by-step solution

Let P be (x,-x-5) Perpendicular distance of P from 2 x+3 y+3=0 is 13 aligned & | 2 x-3 x-15+3 13 |= 13 |x+12|=13 & x=1,-25 & x=1 y=-6 Required point is (1,-6) aligned

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