Coordinate Geometry Question 11
Question: If the vertices of a triangle be (0,0), (6,0) and (6,8), then its incentre will be
Options:
A) (2, 1)
B) (1,2)
C) (4, 2)
D) (2,4)
Show Answer
Answer:
Correct Answer: C
Solution:
Let $ A(0,0),B(6,0) $ and $ C(6,8) $ Thus $ c=AB=6,a=BC=8 $ and $ b=AC=10 $
Hence incentre $ =( \frac{8\times 0+10\times 6+6\times 6}{8+10+6},\frac{8\times 0+10\times 0+6\times 8}{8+10+6} )=(4,2) $ .
BETA
