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AP EAMCET · Maths · Vector Algebra

In \(\triangle P Q R, M\) is the mid-point of \(Q R\) and \(C\) is the mid-point of \(P M\). If \(Q C\) when extended meets \(P R\) at \(N\), then \(\frac{|\overrightarrow{Q N}|}{|\overline{C N}|}=\)

  1. A 1
  2. B 2
  3. C 3
  4. D 4
Verified Solution

Answer & Solution

Correct Answer

(D) 4

Step-by-step Solution

Detailed explanation

We have, \(M\) is the mid-point of \(Q R\). \(C\) is the mid-point of \(P M\). Draw \(M O\) such that \(M O\) is parallel to \(C N\). \(\because N\) is the mid-point of \(P O\) \[ \therefore \quad C N=\frac{1}{2} M O \] \(M\) is the mid-point of \(Q R\) \(\therefore M O\) is…