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MHT CET20239 May 2023Morning ShiftMathematicsStraight LinesActual

If the distance between the parallel lines given by the equation x^2+4 x y+ p y^2+3 x+ q y-4=0 is , then ^2=

Options

  1. A5
  2. B5
  3. C25
  4. D9 5

Correct answer

A. 5

Step-by-step solution

Given equation is aligned & x^2+4 x y+4 y^2+3 x+6 y-4=0 & (x+2 y)^2+3(x+2 y)-4=0 & (x+2 y+4)(x+2 y-1)=0 aligned The lines are: x+2 y+4=0 and x+2 y-1=0 aligned Required distance & = |4-(-1)| 1+4 & = 5 5 = 5 units aligned = 5 units ^2=5

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