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MHT CET202416 May 2024Evening ShiftMathematicsStraight LinesActual

The co-ordinates of the foot of perpendicular, drawn from the point (-2,3) on the line 3 x-y-1=0 are

Options

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

Correct answer

D. (1,2)

Step-by-step solution

Let (h, k) be the required point on the line 3 x-y-1=0 . 3 ~h - k -1=0...(i) Slope of 3 x-y-1=0 is 3 . Line passing through ( h , k ) and (-2,3) is perpendicular to 3 x-y-1=0 . aligned & k-3 h+2 3=-1 & ~h +3 k =7...(ii) aligned Solving (i) and (ii), we get h =1 and k =2

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