Equation of the line through the point and intersecting the lines and

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

Problem

Equation of the line through the point

(1, 1, 1)

and intersecting the lines

2x - y - z - 2 = 0

and

x + y + z - 1 = 0

, and

x - y - z - 3 = 0

and

2x + 4y - z - 4 = 0

. (1)

x - 1 = 0, 7x + 17y - 3z - 134 = 0

(2)

x - 1 = 0, 9x + 15y - 5z - 19 = 0

(3)

x - 1 = 0, \frac{y - 1}{1} = \frac{z - 1}{3}

(4)

x - 2y + 2z - 1 = 0, 9x + 15y - 5z - 19 = 0