A line meets the coordinate axes at A and B such that the ce... | MATH - PROBLEMS RELATED TO TRIANGLE | SolveeIt | Solveeit

Today, August 18

Question

A line meets the coordinate axes at A and B such that the centroid of the DOAB is (1, 2) the equation of the line AB is

A

x + y = 6

B

2x + y = 6

C

x + 2y = 6

D

None

Answer

2x + y = 6

Explanation

Solution

Let equation of the line be $\frac{x}{a} + \frac{y}{b} = 1$

Which meet the axes at A(a, 0) and B (0, b)

If (1, 2) are the coordinate of centroid of DOAB then

$\frac{0 + a + 0}{3} = 1$ & $\frac{0 + 0 + b}{3} = 2$

Ž a = 3 & b =6

\ equation of line is $\frac{x}{3} + \frac{y}{6} = 1$ Ž 2x + y = 6