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Manipal MET2017MathematicsStraight Lines

The foot of the perpendicular from (-2,3) to the line 2 x-y-3=0

Options

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

Correct answer

B. (2,1)

Step-by-step solution

Let A B be the line 2 x-y-3=0...(i) Its slope =2 Slope of P M=- 1 2 Equation of P M is y-3=- 1 2 (x+2) x+2 y-4=0 .....(ii) On solving Eqs. (i) and (ii), we get x=2, y=1 Foot of perpendicular is (2,1) .

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