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Question: If (1, a), (2, b) and (c, –3) are vertices of a triangle, then its centroid will lie on x-axis if...

If (1, a), (2, b) and (c, –3) are vertices of a triangle, then its centroid will lie on x-axis if

A

a + b + 3 = 0

B

a + b = 0

C

a + b = 3

D

c + 3 = 0

Answer

a + b = 3

Explanation

Solution

Centroid ŗ (1+2+c3,a+b33)\left( \frac{1 + 2 + c}{3},\frac{a + b - 3}{3} \right)

it will lie on x-axis if y- coordinate is zero;

\ a + b = 3