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COMEDK2020MathematicsStraight Lines

The orthocent:e of the triangle with vertices A(0,0), B(0,3 / 2), C(-5,0) is

Options

  1. A(-5 / 2,3 / 4)
  2. B(5 / 2,3 / 4)
  3. C(0,0)
  4. D(-5,3 / 2)

Correct answer

A. (-5 / 2,3 / 4)

Step-by-step solution

The triangle formed with vertices A(0,0), B (0, 3 2 ) and C(-5,0) is a right-angled triangle at A . So _ , B C is hypotenuse. So, orthocentre of A B C is mid-point of B C . Orthocentre = ( 0-5 2 , 3 2 +0 2 )= ( -5 2 , 3 4 )

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