Consider a pyramid OPQRS located in the first octant $(x \geq 0, y \geq 0, z \geq 0)$ with $O$ as origin, and $O P$ and OR along the x -axis, respectively. The base OPQR of the pyramid is a square with $\mathrm{OP}=3$. The point S is directly above the mid- point T of diagonal OQ such that $\mathrm{TS}=3$. Then
Select ALL correct options:
A
the acute angle between OQ and OS is $\frac{\pi}{3}$
B
the equation of the plane containing the triangle OQS is $x-y=0$
C
the length of the perpendicular from $P$ to the plane containing the trianle $O Q S$ is $\frac{3}{\sqrt{2}}$
D
the perpendicular distance from $O$ to the straight line containing $R S$ is $\sqrt{\frac{15}{2}}$
Hello 👋 Welcome to Competishun – India’s most trusted platform for JEE & NEET preparation. Need help with JEE / NEET courses, fees, batches, test series or free study material? Chat with us now 👇
