Home
Class 12
MATHS
Find the equation of the plane through t...

Find the equation of the plane through the intersection of the planes `x+3y+6=0 and 3x-y-4z=0`, whose perpendicular distance from the origin is unity.

Text Solution

Verified by Experts

The correct Answer is:
`2x+y-2z+3=0 and x-2y-2z-3=0`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 11 : Subjective Type Questions|1 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|26 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 through the intersection of the planes x+y+z=1 and 2x+3y+4z=5 which is perpendicular to the plane x-y+z=0

Find the equation of the plane through the line of intersection of the planes: x+3y-z+1=0 and x+y-2z+3=0 and perpendicular to the plane 3x-y-2z-4=0

The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4 = 0 and parallel to x-axis is

Find the equation of the plane throught he intersection of the planes : 3x-y+2z-4=0 and x+y+z-2=0 at the point (2,2,1).

Find the equation of the plane passing through the line of intersection of the planes 2x-y=0 and 3z-y=0 and perpendicular to the plane 4x+5y-3z=8

Find the equation of the plane through the line of intersection of the planes 2x+3y-3z+1=0 and x+y-2z+3=0 and perpendicular to the plane 3x-y-2z-4=0 .

Find the equation of the plane through the intersection of the planes 3x-y+2z-4=0 and x+y+z-2 = 0 and the point (2, 2, 1).।

Find the equation of the plane through intersection of the planes : x-2y+3z-4=0 and x+2y+z-2=0 and the point (2,2,1)

Find the equations of the line through the intersection of 2x - 3y + 4 = 0 and 3x + 4y - 5= 0 and perpendicular to 6x-7y +c = 0