JEE Main 2024 (8 Apr, Shift 1) Maths Q17: Let be a point…

Question

Let $P(x,y,z)$ be a point in the first octant, whose projection in the $xy$-plane is the point $Q$. Let $OP=\gamma$; the angle between $OQ$ and the positive $x$-axis be $	heta$; and the angle between $OP$ and the positive $z$-axis be $\phi$, where $O$ is the origin. Then the distance of $P$ from the $x$-axis is

Accepted Answer

Option 1: $\gamma\sqrt{1-\sin^2\phi\cos^2	heta}$

Answer

$\gamma\sqrt{1-\sin^2\phi\cos^2	heta}$

Answer

$\gamma\sqrt{1-\sin^2	heta\cos^2\phi}$

Answer

$\gamma\sqrt{1+\cos^2	heta\sin^2\phi}$

Answer

$\gamma\sqrt{1+\cos^2\phi\sin^2	heta}$

JEE Main 8 April 2024, Shift 1, Maths Q17