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KCET2009MathematicsStraight Lines

The foot of the perpendicular from the point (2,4) upon x+y=4 is

Options

  1. A(2,2)
  2. B(4,0)
  3. C(1,3)
  4. D(3,-1)

Correct answer

C. (1,3)

Step-by-step solution

The equation of line perpendicular to x+y=4 is y - x = . Also, it passes through (2,4) . array lr & 4-2= & =2 & Perpendicular line is & y-x=2 array The point of intersection of these lines are (1,3) .

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