JEE Advanced 2016 Paper 1 Mathematics Question 42

Consider a pyramid OPQRS located in the first octant \(( x \geq 0, y \geq 0, z \geq 0 )\) 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

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