Q. 45.0( 2 Votes )

Find the equation of the plane through the point and passing through the line of intersection of the planes and

Answer :

we know that, the equation of a plane passing through the line of intersection of two planes


and


is given by


So the equation of the plane passing through the line of intersection of given two planes


and is given by


…… (1)


As given that, plane (1) is passing through the point 2 so



(2)(1) + (1)(3) + ( – 1)( – 1) + k[(2)(0) + (1)(1) + ( – 1)(2)] = 0


(2 + 3 + 1) + k(1 – 2) = 0


6 – k = 0


k = 6


put the value of k in equation (1)






So, the equation of the required plane is


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
The Embryonic Development62 mins
NCERT Exemplar Special | The Living World Part 225 mins
Nernst Equation - Learn the Concept33 mins
Revising the basics of Organic Chemistry35 mins
Understanding the Combination of cells54 mins
Types of solution on the basis of Raoult's Law44 mins
Nucleophilic Substitution Reaction | Getting the basics39 mins
Know About finding the Adjoint & Inverse Of Matrix46 mins
Understant the concept of Development of pollen grains55 mins
Getting into the world of coliisionsFREE Class
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
view all courses