Question

Select the correct option from the given alternatives:

Let `bar"p"  "and"  bar"q"` be the position vectors of P and Q respectively, with respect to O and `|bar"p"| = "p", |bar"q"| = "q"`. The points R and S divide PQ internally and externally in the ratio 2 : 3 respectively. If OR and OS are perpendicular; then

Options

• 9p² = 4q² 

• 4p² = 9q² 

• 9p = 4q

• 4p = 9q 

Answer 1

9p² = 4q²