Home
Class 12
MATHS
Statement 1: A plane passes through t...

Statement 1: A plane passes through the point `A(2,1,-3)dot` If distance of this plane from origin is maximum, then its equation is `2x+y-3z=14.` Statement 2: If the plane passing through the point `A( vec a)` is at maximum distance from origin, then normal to the plane is vector ` vec adot`

A

Statement-I is true, Statement II is also true, Statement-II is the correct explanation of Statement-I.

B

Statement-I is true, Statement-II is also true, Statement-II is not the correct explanation of Statement-I.

C

Statement-I is true, Statement-II is false.

D

Statement-I is false, Statement -II is true.

Text Solution

Verified by Experts

The correct Answer is:
(a)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|33 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Three Dimensional Coordinate System Exercise 9 : Match Type Questions|7 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|28 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the plane passing through the point (2,3,1) having (5,3,2) as the direction ratio is of the normal to the plane.

Find the equation of the plane passing through the point (2,3,1) having (5,3,2) as the direction ratio is of the normal to the plane.

Find the equation of the plane passing through the point (2,3,1) having (5,3,2) as the direction ratio is of the normal to the plane.

Find the equation of the plane passing through the point (1,-1,2) having 2,3,2 as direction ratios of normal to the plane.

Find the equation of the plane which passes through the point (12,3) and which is at the maxixum distance from the point (-1,0,2)dot

Find the equation of the plane which passes through the point (1,2,3) and which is at the minimum distance from the point (-1,0,2)dot

Find the equation of the plane passing through the points (1,0,0) and (0,2,0) and c at a distance 6/7 units from the origin

If a plane passes through the point (-3,- 3,1) and is normal to the line joining the points (2, 6, 1) and (1, 3, 0), find its equation.

A plane passes through thee points P(4, 0, 0) and Q(0, 0, 4) and is parallel to the Y-axis. The distance of the plane from the origin is

An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit distance from the origin is