JEE Exam  >  JEE Questions  >  Equation of a plane which is at a distance d ... Start Learning for Free
Equation of a plane which is at a distance d from the origin and the direction cosines of the normal to the plane are l, m, n is.
  • a)
    lx – my + nz = d
  • b)
    – lx + my + nz = d
  • c)
    lx + my + nz = d
  • d)
    lx + my + nz = – d
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Equation of a plane which is at a distance d from the origin and the d...
In Cartesian co – ordinate system Equation of a plane which is at a distance d from the origin and the direction cosines of the normal to the plane are l, m, n is given by : lx + my + nz = d.
View all questions of this test
Most Upvoted Answer
Equation of a plane which is at a distance d from the origin and the d...
Equation of a Plane with Given Normal Vector
To find the equation of a plane in 3D space, we need a point on the plane and a normal vector to the plane. In this case, we are given the direction cosines of the normal vector and the distance of the plane from the origin.

Given Information:
- Direction cosines of the normal to the plane: l, m, n
- Distance of the plane from the origin: d

Equation of the Plane:
The general form of the equation of a plane in 3D space is:
lx + my + nz = d

Explanation:
- The direction cosines of the normal vector to the plane are l, m, n. This means that the coefficients of x, y, and z in the equation of the plane will be l, m, and n respectively.
- The distance of the plane from the origin is represented by the constant term d in the equation.

Correct Answer:
The correct equation of the plane in this case is:
lx + my + nz = d

Conclusion:
When given the direction cosines of the normal vector and the distance of the plane from the origin, the equation of the plane can be determined by using the general form lx + my + nz = d.
Explore Courses for JEE exam
Equation of a plane which is at a distance d from the origin and the direction cosines of the normal to the plane are l, m, n is.a)lx – my + nz = db)– lx + my + nz = dc)lx + my + nz = dd)lx + my + nz = – dCorrect answer is option 'C'. Can you explain this answer?
Question Description
Equation of a plane which is at a distance d from the origin and the direction cosines of the normal to the plane are l, m, n is.a)lx – my + nz = db)– lx + my + nz = dc)lx + my + nz = dd)lx + my + nz = – dCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Equation of a plane which is at a distance d from the origin and the direction cosines of the normal to the plane are l, m, n is.a)lx – my + nz = db)– lx + my + nz = dc)lx + my + nz = dd)lx + my + nz = – dCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Equation of a plane which is at a distance d from the origin and the direction cosines of the normal to the plane are l, m, n is.a)lx – my + nz = db)– lx + my + nz = dc)lx + my + nz = dd)lx + my + nz = – dCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Equation of a plane which is at a distance d from the origin and the direction cosines of the normal to the plane are l, m, n is.a)lx – my + nz = db)– lx + my + nz = dc)lx + my + nz = dd)lx + my + nz = – dCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Equation of a plane which is at a distance d from the origin and the direction cosines of the normal to the plane are l, m, n is.a)lx – my + nz = db)– lx + my + nz = dc)lx + my + nz = dd)lx + my + nz = – dCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Equation of a plane which is at a distance d from the origin and the direction cosines of the normal to the plane are l, m, n is.a)lx – my + nz = db)– lx + my + nz = dc)lx + my + nz = dd)lx + my + nz = – dCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Equation of a plane which is at a distance d from the origin and the direction cosines of the normal to the plane are l, m, n is.a)lx – my + nz = db)– lx + my + nz = dc)lx + my + nz = dd)lx + my + nz = – dCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Equation of a plane which is at a distance d from the origin and the direction cosines of the normal to the plane are l, m, n is.a)lx – my + nz = db)– lx + my + nz = dc)lx + my + nz = dd)lx + my + nz = – dCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Equation of a plane which is at a distance d from the origin and the direction cosines of the normal to the plane are l, m, n is.a)lx – my + nz = db)– lx + my + nz = dc)lx + my + nz = dd)lx + my + nz = – dCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev