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The angle between the line and the plane is . Given , what will be the value of ?

Mathematics20251 markShort answer
The angle between the line $\frac{x+1}{1} = \frac{y-1}{2} = \frac{z-2}{2}$ and the plane $2x - y + \sqrt{k}z + 4 = 0$ is $\alpha$. Given $\sin\alpha = \frac{1}{3}$, what will be the value of $k$?

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Three-dimensional Geometry

From ISC 2025 Practice Mathematics, question 65.