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JEE Advanced 2016 Paper 1

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Question : 43

Total: 54

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 a square with OP= 3. The point S is directly above the mid-point T of diagonal OQ such that TS = 3. Then-

the acute angle between OQ and OS is
π
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
√2
the perpendicular distance from O to the straight line containing RS is √
15
2

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