The incentre of the triangle with vertices A (1, √3), B (0, 0) and C (2, 0) is

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NDA (Held On: 23 April 2017) Maths Previous Year paper

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Answer 1

Concept:

Incentre: The incentre is the point where the angle bisectors intersect.

For a triangle with side lengths a, b, c with vertices at the points (x₁, y₁), (x₂, y₂), (x₃, y₃) the incentre lies at
For equilateral triangle incentre coincide with the centroid.

Calculation:

OA = 2

Here OA = OB = AB,

Since, the given triangle is an equilateral triangle.

Therefore, incentre coincide with the centroid.

Incentre of triangle =