Home
Class 12
MATHS
If lx+my+nz=p is equation of a plane in ...

If lx+my+nz=p is equation of a plane in normal form, then

A

`l^2+m^2+n^2=1`

B

l,m,n are direction cosines of normal to the plane

C

`p gt 0`

D

All above

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PLANE

    TARGET PUBLICATION|Exercise CRITICAL THINKING|58 Videos
  • PLANE

    TARGET PUBLICATION|Exercise COMPETATIVE THINKING|89 Videos
  • PAIR OF STRAIGHT LINES

    TARGET PUBLICATION|Exercise EVALUATION TEST|11 Videos
  • PROBABILITY DISTRIBUTION

    TARGET PUBLICATION|Exercise Evaluation test|5 Videos

Similar Questions

Explore conceptually related problems

Equation of plane in normal form

Parametric form of the equation of the plane is bar r =(2hati + hatk ) + lambda hati + mu (hati + 2hati-3 hatk) lambda and mu are parameters. Find normal to the plane and hence equation of the plane in normal form. Write its Cartesion form.

Equation of normal in Point form

If the equation of a plane is lx+my+nz=p which is in the normal form,then which one of the following is not true?

Any first degree equation in x, y and z represents a plane i.e., ax+by+cz+d=0 is the general equation of a plane. If p be the length of perpendicular from the origin to a plane and d.c. of this normal is lt l, m n gt , then the equation of the plane in the normal form is lx+my+nz=p_(1) . Vector equation of a plane passing through a point having position vector vec(a) and normal to vector vec(n) is (vec(r)-vec(a))vec(n)=0" or "vec(r).vec(n)=vec(a).vec(n) Suppose a vector vec(n) of magnitude 2sqrt(3) such that it makes equal acual angles with the co-ordinate axes. If vec(n) is a normal to the plane containing the point (1,-1,2) . Cartesian equation of the plane is

Any first degree equation in x, y and z represents a plane i.e., ax+by+cz+d=0 is the general equation of a plane. If p be the length of perpendicular from the origin to a plane and d.c. of this normal is lt l, m n gt , then the equation of the plane in the normal form is lx+my+nz=p_(1) . Vector equation of a plane passing through a point having position vector vec(a) and normal to vector vec(n) is (vec(r)-vec(a))vec(n)=0" or "vec(r).vec(n)=vec(a).vec(n) Suppose a vector vec(n) of magnitude 2sqrt(3) such that it makes equal acual angles with the co-ordinate axes. If vec(n) is a normal to the plane containing the point (1,-1,2) . The vector vec(n) is equal to

The condition that the equation lx +my +n = 0 represents the equatio of a straight line in the normal form is

Find the equation of the plane if feet of Normal from origin on the plane is (a,b,c) .

The vector equation of a plane which is at a unit form the origin and which is normal to the vector hati-2hatj+3hatk is