Question

The line $x + y = 4$divides the line joining the points (–1,1) and (5, 7) in the ratio

• A. 2 : 1
• B. 1 : 2 Internally
• C. 1 : 2 Externally
• D. None of these

Answer 1

Answer: (B)

1 : 2 Internally

Answer 2

Required ratio = $- \left( \frac{ax_{1} + by_{1} + c}{ax_{2} + by_{2} + c} \right)$= – $\left( \frac{- 1 + 1 - 4}{5 + 7 - 4} \right) = \frac{4}{8} = \frac{1}{2}$

(Internally)