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Question

Mathematics Question on Angle between a Line and a Plane

The sine of the angle between the straight line x23=y34=4z5\frac{x-2}{3}=\frac{y-3}{4}=\frac{4-z}{-5} are the plane 2x-2y+z=5 is

A

152\frac{1}{5\sqrt 2}

B

252\frac{2}{5\sqrt 2}

C

350\frac{3}{50}

D

350\frac{3}{\sqrt {50}}

Answer

152\frac{1}{5\sqrt 2}

Explanation

Solution

The correct answer is Option (A) : 152\frac{1}{5\sqrt 2}