1.

Consider a pyramid OPQRS located in the first octan (x ge 0, y ge 0z 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 midpoint T of diagonal OQ such that TS = 3. Then

Answer»

the ACUTE angle between OQ and OS is `pi//3`
the EQUATION of the plane containing the triangle `OQS is x-y =0`
the length of the perpendicular from P to the plane containing the triangle OQS is `(3)/(SQRT3)`
the perpendicular distance from O to the straight line containing RS is `sqrt ((15)/(2))`

Answer :B::C::D


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