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# Incentre - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

## Quick Facts

• Incentre is considered one the most difficult concept.

• 10 Questions around this concept.

## Solve by difficulty

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

## Concepts Covered - 1

Incentre

Incentre

Incentre is the point of intersection of internal angle bisectors of triangle. And it is denoted by I.

The coordinates of Incentre (I) of triangle, whose vertices are A (x1, y1), B (x2, y2) and C(x3, y3), is given by

$\\\mathrm{\mathbf{\left ( \frac{ax_1+bx_2+cx_3}{a+b+c},\;\frac{ay_1+by_2+cy_3}{a+b+c} \right )}}$

Where, a, b and c are the length of side BC, CA and AB respectively.

NOTE:

If ΔABC is equilateral triangle, then a = b = c

Coordinates of Incentre (I) = Coordinates of Centroid (G) =

$\\\mathrm{\mathbf{\left ( \frac{x_1+x_2+x_3}{3},\;\frac{y_1+y_2+y_3}{3} \right )}}$

## Study it with Videos

Incentre

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## Books

### Reference Books

#### Incentre

Mathematics for Joint Entrance Examination JEE (Advanced) : Coordinate Geometry

Page No. : 1.13

Line : 46