Coordinate Geometry Question 135

Question: If the vertices of a triangle be $ (a,1),\ (b,3) $ and $ (4,c), $ then the centroid of the triangle will lie on x-axis, if

Options:

A) $ a+c=-4 $

B) $ a+b=-4 $

C) $ c=-4 $

D) $ b+c=-4 $

Show Answer

Answer:

Correct Answer: C

Solution:

The point lies on axis of x, if $ y=0. $ Therefore, $ \frac{1+3+c}{3}=0\Rightarrow c=-4 $