Question

The points which trisect the line segment joining the point (0, 0) and (9, 12) are-

• A. (3, 4), (6, 8)
• B. (4, 3), (6, 8)
• C. (4, 3), (8, 6)
• D. (3, 4), (8, 6)

Answer 1

Answer: (A)

(3, 4), (6, 8)

Answer 2

AP : PB = 1 : 2

Ž P $\left( \frac{1 \times 9 + 2 \times 0}{1 + 2},\frac{1 \times 12 + 2 \times 0}{1 + 2} \right)$

Ž P (3, 4)

AQ : QB = 2 : 1

Ž Q ŗ $\left( \frac{2 \times 9 + 1 \times 0}{2 + 1},\frac{2 \times 12 + 1 \times 0}{2 + 1} \right)$

ŗ (6, 8)