The point P is the intersection | Maths | JEE ADVANCED 2012

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JEE ADVANCE 2012

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Question

The point P is the intersection of the straight line joining the points $\mathrm{Q}(2,3,5)$ and $\mathrm{R}(1,-1,4)$ with the plane $5 x-4 y-z=1$. If $S$ is the foot of the perpendicular drawn from the point $T(2,1,4)$ to $Q R$, then the length of the line segment PS is

Select the correct option:

A

$\frac{1}{\sqrt{2}}$

B

$\sqrt{2}$

C

2

D

$2 \sqrt{2}$

✓ Correct! Well done.

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Solution

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