Question

The point of trisection of the line joining the points A (4, 2) and B (1, 2) is

• A. (1,2)
• B. (2,1)
• C. (2,2)
• D. (3,2)

Answer 1

The correct option is C

(2,2)

If a line is trisected the line is divided into three equal parts, so the point of trisection divides the line segment in the ratio 2:1.

Using section formula P (x, y) = ($\frac{m_1{x}_2+m_2{x}_1}{m_1+m_2}$, $\frac{m_1{y}_2+m_2{y}_1}{m_1+m_2}$)

(2, 2) divides the line joining the points A (4, 2) and B (1, 2) is in the ratio 2:1.