Question

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

• A. $\frac{1}{\sqrt{2}}$
• B. $\sqrt{2}$
• C. 2
• D. $2\sqrt{2}$

Answer 1

The correct option is A

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