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MCQ practice · SSC Higher Mathematics Board questions · Chapter 3: Geometry

Dinajpur Board 2023

What is the centre of the circle drawn through the three vertices of a triangle called?

Think it through first, then pick an option.

  1. a incentre
  2. b circumcentre
  3. c centroid
  4. d orthocentre
Answer and explanation

Correct answer: b circumcentre

The circle through the three vertices is the circumcircle and its centre is the circumcentre.

Why the other options are wrong

  • a incentre: The incentre belongs to the circle inside the triangle, not the one through the vertices.
  • c centroid: The centroid is where the medians meet, not a circle's centre.
  • d orthocentre: The orthocentre is where the three altitudes meet.