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Consider a pyramid OPQRS located in the ...

Consider a pyramid OPQRS located in the first octant `(xge0, yge0, zge0)` with O as origin and OP and OR along the X-axis and the Y-axis , respectively. The base OPQRS 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,

A

the acute angle between OQ and OS is `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` (3)/(sqrt2)`

D

the perpendicular distance from O to the straight line containing RS is `sqrt((15)/(2))`

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B, C, D
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