Coordinate Geometry Question 33

Question: The incentre of the triangle formed by (0, 0), (5,12), (16, 12) is

[EAMCET 1984]

Options:

A) (7, 9)

B) (9, 7)

C) (-9, 7)

D) (-7, 9)

Show Answer

Answer:

Correct Answer: A

Solution:

Obviously $ a=11,b=20,c=13. $

Hence incentre is $ ( \frac{11\times 0+20\times 5+13\times 16}{11+20+13},\frac{11\times 0+20\times 12+13\times 12}{11+20+13} ) $ i.e. (7, 9)