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NDA 2021 Maths · Mathematics · Straight Lines · easy

The orthocentre of the triangle with vertices (0,0), (6,0) and (0,8) is

Single correct option

The orthocentre of the triangle with vertices (0,0)(0,0), (6,0)(6,0) and (0,8)(0,8) is
  1. A. (2,83)(2,\tfrac83)
  2. B. (3,4)(3,4)
  3. C. (0,0)(0,0)
  4. D. (6,8)(6,8)
Show answer and solution

Answer: (C) (0,0)(0,0)

The triangle has a right angle at the origin, because the sides along the axes are perpendicular. In a right-angled triangle the orthocentre is the vertex of the right angle, so it is (0,0)(0,0). The point (2,83)(2,\tfrac83) is the centroid and (3,4)(3,4) is the circumcentre.
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Original question written in the NDA 2021 Maths pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake