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

• A. Lies at the origin
• B. Cannot lie on x-axis
• C. Cannot lie on y-axis
• D. None of these

Answer 1

The correct option is C

Cannot lie on y-axis

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.