The equation of the straight line through the origin and parallel to the line and are

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

Problem

The equation of the straight line through the origin and parallel to the line

(b+c)x + (c+a)y + (a+b)z = k

and

(b-c)x + (c-a)y + (a-b)z = k

are (1)

\frac{x}{b^2 - c^2} = \frac{y}{c^2 - a^2} = \frac{z}{a^2 - b^2}

(2)

\frac{x}{b} = \frac{y}{b} = \frac{z}{a}

(3)

\frac{x}{a^2 - bc} = \frac{y}{b^2 - ca} = \frac{z}{c^2 - ab}

(4) None of the above