Mathematics

Problem

If the distance from the point

P(1, 1, 1)

to the line passing through the points

Q(0, 6, 8)

and

R(-1, 4, 7)

is expressed in the form

\sqrt{p/q}

, where

p

and

q

are co-prime, then the value of

\frac{(p+q)(p+q-1)}{2}

is equal to a. 4950 b. 5050 c. 5150 d. None of these