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Consider a pyramid OPQRS located in the ...

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 OPQRS of the pyramid is a square with OP = 3. The point S is directly above the midpoint 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 `DeltaOQS` is `x -y = 0`

C

the length of the perpendicular from P to the plane containing the `DeltaOQS " is " (3)/(sqrt2)`

D

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

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The correct Answer is:
B, C, D
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