Find the ratio in which point P(k, 7) divides the segment joining A(8, 9) and B(1, 2). Also find k.

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

1 answer

Answer: Ratio 2 : 5 and k = 6

Let AP : PB = \(m:n\). Using the y-coordinate:

\[7=\frac{2m+9n}{m+n}\ \Rightarrow\ 7m+7n=2m+9n\]

\[5m=2n\ \Rightarrow\ m:n=2:5\]

Now the x-coordinate:

\[k=\frac{2(1)+5(8)}{7}=\frac{42}{7}=6\]

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report

Was this answer helpful?