MHT CET · Maths · Vector Algebra
In triangle ABC , the point P divides BC internally in the ratio \(3: 4\) and Q divides CA internally in the ratio \(5: 3\). If AP and BQ intersect in a point \(G\), then \(G\) divides \(A P\) internally in the ratio
- A \(2: 1\)
- B \(5: 7\)
- C \(7: 5\)
- D \(1: 2\)
Answer & Solution
Correct Answer
(C) \(7: 5\)
Step-by-step Solution
Detailed explanation
Applying Menelaus' Theorem to \(\triangle ACP\) with transversal \(B G Q\): \(\frac{AQ}{QC} \cdot \frac{CB}{BP} \cdot \frac{PG}{GA} = 1\)
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