The line is the hypotenuse of an isosceles right angled triangle whose opposite vertex is

MATHEMATICS · Single correct · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

The line

\frac{x+6}{5} = \frac{y+10}{3} = \frac{z+14}{8}

is the hypotenuse of an isosceles right angled triangle whose opposite vertex is

(7, 2, 4)

. Then which of the following is not the side of the triangle ? (1)

\frac{x-7}{2} = \frac{y-2}{-3} = \frac{z-4}{6}

(2)

\frac{x-7}{3} = \frac{y-2}{6} = \frac{z-4}{2}

(3)

\frac{x-7}{3} = \frac{y-2}{5} = \frac{z-4}{-1}

(4) None of these