Answer: k = 5
Parallel lines have equal slopes.
Slope of PQ \(=\dfrac{6-4}{3-2}=2\). Slope of RS \(=\dfrac{k-1}{5-3}=\dfrac{k-1}{2}\).
\[\frac{k-1}{2}=2\ \Rightarrow\ k=5\]
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· 24 Oct 2026
AI-verified · Oct 2026
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