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Questions  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class11  >>  3-D Geometry
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If $P$ is the point of intersection of the line joining the points $Q(2,3,5)\:\:and\:\:R(1,-1,4)$ with the plane $5x-4y-z-1=0$. If $S$ is foot of $\perp$ drawn from the point $T(2,1,4)$ to the line $QR$, then the length of segment $\overrightarrow {PS}$ = ?

$\begin{array}{1 1} (a)\:\large\frac{1}{\sqrt 2}\:\:\:\qquad\:(b)\:\sqrt 2\:\:\:\qquad\:(c)\:2\:\:\:\qquad\:(d)\:2\sqrt 2. \end{array} $

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