Let the point A divide the line segment joining the points P(-1,-1,2) and Q(5,5,10) internally in the ratio r: 1(r>0). If O is the origin and (\overrightarrow{O Q} \cdot \overrightarrow{O A})-\frac{1}{5}|\overrightarrow{O P} \times \overrightarrow{O A}|^2=10, then the value of r is: [23 Jan 2025 Shift 2]

JEE Main 23 Jan 2025 Shift 2 Paper

Section: Mathematics

Question : 17 of 75

Marks: +1, -0

Let the point A divide the line segment joining the points P(−1,−1,2) and Q(5,5,10) internally in the ratio r:1(r>0). If O is the origin and (

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)−‌

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|2=10, then the value of r is:

[23 Jan 2025 Shift 2]

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