Question

The line segment joining the points (1, 2) and (k, 1) is divided by the line 3x + 4y – 7 = 0 in the ratio 4 : 9 , then k is

• A. –2
• B. 2
• C. –3
• D. 3

Answer 1

Answer: (A)

–2

Answer 2

Ž$\frac{4}{9}$= – $\frac{(3 \times 1 + 4 \times 2–7)}{3k + 4–7}$

Ž 4(3k – 3) = – 9 (4)

Ž 12k – 12 = – 36

Ž 12 k = – 24

Ž k = – 2