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MHT CET20228 Aug 2022Evening ShiftMathematicsStraight LinesActual

The co-ordinates of point on the line x+y+3=0 , whose distance from the line x+2 y+2=0 is 5 units, are

Options

  1. A(-1,-4)
  2. B(1,-4)
  3. C(-1,4)
  4. D(1,4)

Correct answer

B. (1,-4)

Step-by-step solution

Any point on the line x+y+3=0 can be taken as (k,-3-k) Now, its distance from x+2 y+2=0 is aligned & |k+2 (-3-k)+2| 1^2+2^2 = 5 & 1-k-41=5 & -k-4= 5 & k=1,-9 aligned for k=1 the point is (1,-4)

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