First slide

Cartesian plane

Question

The incentre of the triangle with vertices $(1, \sqrt{3})$ ,(0, 0) and (2, 0) is

Easy

A

$(1, \sqrt{3} / 2)$
B

$(2 / 3, 1 / \sqrt{3})$
C

$(2 / 3, \sqrt{3} / 2)$
D

$(1, 1 / \sqrt{3})$

Solution

The triangle is equilateral, so the incentre is the centroid
$(1, 1 / \sqrt{3})$ of the triangle.

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