Answer :

Given:


Taking points lying on each of the line a1 = (1, - 1, 0) and a2 = (0, 2, - 1)


Direction ratio of l1 is


Let the equation of plane through a1 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 l3


Satisfying this point in the equation of plane to check whether l3 is contained in the plane


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


Therefore, the plane contains the given line.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

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