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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 ht `triangleOQS` is x-y=0

C

the length of perpendicular from P to the plane containing the `triangleOQS` is `(2)/(sqrt(3))`

D

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

Text Solution

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The correct Answer is:
`(b,c, d)`
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Knowledge Check

  • Consider a pyamid OPQRS locaated in the first octant ( x ge 0, y le 0, z le 0) with O as origin , and OP an OR along the x-axis and 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 the diagonal OQ such that TS=3 , Then , the angle between OQ and OS, is

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