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Consider a pyramid OPQRS located in the ...

Consider a pyramid OPQRS located in the first octant `(x >= 0, y >= 0, z >= 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 asqu are 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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