Question

The circumcentre of a triangle is determined by

• A. interior angle bisectors
• B. altitudes
• C. medians
• D. perpendicular bisectors of the sides

Answer 1

The correct option is D perpendicular bisectors of the sides

$\text{Circumcentre}$ is the point where all the three perpendicular bisectors of the sides of a triangle meet.


$PN$, $PL$ and $PM$ are the perpendicular bisectors of the sides $AB$, $BC$ and $CA$ respectively.

Here, $P$ is the point where all three perpendicular bisectors of the sides of the $△ABC$ meet.

Hence, $P$ is the circumcentre of the triangle $△ABC.$

So, option(d.) is correct.