Answer :

**Given:**

Taking points lying on each of the line a_{1} = (1, - 1, 0) and a_{2} = (0, 2, - 1)

Direction ratio of l_{1} is

Let the equation of plane through a_{1} be

a(x - 1) + b(y + 1) + c(z) = 0 …(i) where a, b and c are the direction ratio’s

(0, 2, - 1) lies on it, therefore - a + 3b - c = 0 …(ii)

Line in eq(i) is perpendicular to the line with direction ratio’s 2, - 1, 3

Therefore, 2a - b + 3c = 0 …(iii)

Solving (ii) and (iii), by cross-multiplication, we get,

Therefore, the equation of plane is

8(x - 1) + (y + 1) - 5z = 0

8x + y - 5z = 7

Point (2, 1, 2) lies on the line l_{3}

Satisfying this point in the equation of plane to check whether l_{3} is contained in the plane

8(2) + 1 - 5(2) - 7 = 0

Therefore, the plane contains the given line.

Rate this question :

Find the equationMathematics - Board Papers

Show that the linMathematics - Board Papers

If lines <sMathematics - Board Papers

Let <span lang="EMathematics - Board Papers

Prove that the liRS Aggarwal - Mathematics

Prove that the liRS Aggarwal - Mathematics

Find the equationRS Aggarwal - Mathematics