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MHT CET · Maths · Vector Algebra

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In the above figure, P divides AC in the ratio 3:4 and Q divides BC in the ratio \(4: 3\). Then \(M\) divides \(A Q\) in the ratio

  1. A 15:14
  2. B 29:13
  3. C 21:16
  4. D 28:9
Verified Solution

Answer & Solution

Correct Answer

(C) 21:16

Step-by-step Solution

Detailed explanation

Apply Menelaus' Theorem to \( \triangle ACQ \) with transversal \( BPM \). \( \frac{AP}{PC} \cdot \frac{CB}{BQ} \cdot \frac{QM}{MA} = 1 \)