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NTA Abhyas JEE Main2020MathematicsStraight LinesPractice

The orthocentre of the triangle whose vertices are 1,1 , 5,1 and 4,5 is

Options

  1. A9 4 , - 1 3
  2. B4,13
  3. C4 , 9 4
  4. D4 , 7 4

Correct answer

D. 4 , 7 4

Step-by-step solution

Consider the triangle with the given information, The slope of A B = 0 , so the equation of altitude from C is x = 4 The slope of B C = - 4 , so the equation of altitude from A is x - 4 y + 3 = 0 Solving these two equations, we get, orthocentre of the triangle is 4 , 7 4

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