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If the sides of a triangle are given by the equations x - y + 1 = 0 ,   x + y + 3 = 0 and 2 x + 5 y - 2 = 0 , then the coordinates of its orthocentre are

Options

  1. A2 , 1
  2. B2 , - 1
  3. C- 2 , 1
  4. D- 2 , - 1

Correct answer

D. - 2 , - 1

Step-by-step solution

As two lines are perpendicular, so triangle is right angle Δ where right angle is made at point of intersection of these two lines. Also in right angle triangle, orthocentre is point of intersection of perpendicular lines. ⇒ orthocentre is point of intersection of lines x - y + 1 = 0 and x + y + 3 = 0 i.e. - 2 , - 1

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