Q 1637345282.     Consider a pyramid `OPQRS` located in the first octant `( x\ge 0,y\ge 0,z\ge 0 )` with `O` as origin, and `OP` and `OR` along the x-axis and the `y`-axis, respectively. The base `OPQR` of the pyramid is a square with `OP=3`. The point `S` is directly above the mid-point `T` of diagonal `OQ` such that `TS=3`. Then

JEE 2016 ADVANCED Paper 1

(This question may have multiple correct answers)

A The acute angle between `OQ` and `OS` is `frac { \pi }{ 3 }`
B The equation of the plane containing the triangle `OQS` is `x-y=0`
C The length of the perpendicular from `P` to the plane containing the triangle `OQS` is `frac { 3 }{ \sqrt { 2 }}`
D The perpendicular distance from `O` to the straight line containing `RS` is ` \sqrt { \frac { 15 }{ 2 }}`

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