Home
Class 12
MATHS
Find the equation of a plane which passe...

Find the equation of a plane which passes through the point `(1, 2, 3)` and which is at the maximum distance from the point `(-1, 0, 2)`.

Text Solution

Verified by Experts

The correct Answer is:
`2x+2y+z=9`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 4|7 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|96 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 2|10 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

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

Similar Questions

Explore conceptually related problems

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)

Find the equation of a plane which passes through the point (1,2,3) and which is equally inclined to the planes x-2y+2z-3=0 and 8x-4y+z-7=0

Find the equation of the plane which passes through the points (6,2,-4) and (3,-4,1) and is parallel to the line joining the points (1,0,3) and (-1,2,4) .

The equation of plane passing through the points (1,2,-3),(3,1,0) and (0,1,1) is

The number of lines which pass through the point (2,-3) and are at a distance 8 from the point (-1,2) is

Find the vector equation for the line passing through the points (-1,0,2) and

The equation of a straight line, which passes through the point (a,0) and whose perpendicular distance from the point (2a,2a)is a,is

Find the equation of plane which passes through the point (1, 2,0) and which is perpendicular to the plane x-y+z=3 and 2x+y-z+4=0 .

Find the vector equation of tha plane which passes through the point (3, 2, -3) and perpendicular to a line with direction ratios (1, 2, -1).

Find the equation of the plane passes through the point (1,-3,1) and parallel to the plane 2x+3y+z=1 .