Coordinate Geometry Question 9
Question: If the coordinates of the vertices of a triangle be (1,a), (2,b) and $ (c^{2},3) $ , then the centroid of the triangle
Options:
A) Lies at the origin
B) Cannot lie on x-axis
C) Cannot lie on y-axis
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
Centroid is $ ( \frac{1+2+c^{2}}{3},\frac{a+b+3}{3} ) $ Now on y-axis $ x=0;\Rightarrow \frac{3+c^{2}}{3}=0\Rightarrow c^{2}=-3 $ , which is impossible.
Hence it cannot lie on y-axis.
BETA
