Let the incentre of ABC is I (2,5). If A = (1,13) and B = …

Maths Straight Line NTA Abhiyas Question Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

Let the incentre of ABC is I (2,5). If A = (1,13) and B = (-4,1), then the coordinates of C are

(1,10)

(10,1)

(8,2)

(9,3)

Text Solution

Verified by Experts

The correct answer is:

(10,1)

Slope of AB is

Slopeof BI is

Slope of AI is

Let, the slopes of BC and AC are m 1 &m 2 respectively

Now,

(3m 1 - 2) (39) = (3 + 2m 1 ) (-26)

9m 1 - 6 = -6 - 4m 1 m 1 = 0

The equation of AC is (y- 13) = - (x - 1) and the equation of BC is y = 1

C is (10,1)

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