Let p and q be the position vectors of P and Q respectively, with respect to O and | p…

Mathematics · JEE Advanced · NTA ExamsVector Algebra

Let \(\vec{p} \text { and } \vec{q}\) be the position vectors of P and Q respectively, with respect to O and \(|\vec{p}|=p,|\vec{q}|=q .\)The points R and S divide PQ internally and externally in the ratio 2 : 3 respectively. If OR and OS are perpendiculars then
  1. 9p2 = 4q2
  2. 4p2 = 9q2
  3. 9p = 4q
  4. 4p = 9q

Answer

(A) 9 p 2 = 4 q 2

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