Home
Class 12
MATHS
The perpendicular distance between the ...

The perpendicular distance between the planes x + 2y- 3z = 2 and 2x+4y-6z = -2 is.........

A

`(3)/(sqrt(14))`

B

`(1)/(sqrt(14))`

C

`(2)/(sqrt(14))`

D

`(4)/(sqrt(14))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos
  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXAMPLAR PROBLEMS (Short Answer Type Question)|49 Videos
  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos
  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

The perpendicular distance between the planes 2x-y+ 2z = 1 and 4x - 2y + 4z =1 is...............

The distance between the planes 2x + 2y-z + 2 = 0 and 4x + 4y -2x + 5 = 0 is ............

Distance between the two planes 2x-2y+z = 5 and 6x-6y+3z = 25 is .............. Units.

The angle between the lines 2x = 3y = -z and 6x = -y = -4x is .........

Distance between the two planes 2x -2y + z= 5 and 6x-6y + 3z = 25 is …... Units.

Distance between the two planes : 2x + 3y + 4z = 4 and 4x + 6y + 8z = 12 is

The equation of the plane passing through the pionts (2,5,-3) and perpendicular to both the planes x + 2y + 2z = 1 and x -2y + 3z = 4 is ........

Distance between the two planes 2x + 3y +4z -4=0 and 4x + 6 y + 8z = 12 is …….

The perpendicular distance of the point (3,2,1) from the plane 3x+4y-2z - 10 = 0 is...............

The equation of the plane passing through (1,-3,-2) and perpendicular to the planes x+2y + 3z = 5 and 3x + 3y+2z = 8 is .............

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The plane 2x - 3y + 6z + 9 =0 makes an angle with positive direciton o...

    Text Solution

    |

  2. Expression of x+y + z = 1 in the form of x cos alpha + y cos beta + z ...

    Text Solution

    |

  3. The perpendicular distance between the planes x + 2y- 3z = 2 and 2x+4...

    Text Solution

    |

  4. A line (x-3)/(1) = (y-6)/(5) = (z-4)/(4) is in the plane which passes ...

    Text Solution

    |

  5. The perpendicular distance of the point (3,2,1) from the plane 3x+4y-2...

    Text Solution

    |

  6. The point of intersection of the line (x-4)/(2) = (y+3)/(5) = (z-3)/(3...

    Text Solution

    |

  7. The plane 2x + 3y -2sqrt(3)z + 25 = 0 makes an angle.......with X-axis...

    Text Solution

    |

  8. The plane passing the points (1,1,1),(1,-1,1) and (-1,3,-5) contains t...

    Text Solution

    |

  9. The direction of theline passing through the point (-1,2,4) and parall...

    Text Solution

    |

  10. The equation of the plane passing through (1,-4,5) and having normal (...

    Text Solution

    |

  11. The plane x-2y + 3z= 2 makes an angle ... With Y-axis.

    Text Solution

    |

  12. If the foot of perpendicular from origin to the plane is (2,1,0) then ...

    Text Solution

    |

  13. The direction of the line of instersection of the planes 3x-z = 5 and ...

    Text Solution

    |

  14. The perpendicular distance of the plane y-2x + 5 = z from the point (0...

    Text Solution

    |

  15. The equation of the passing through the point (2,-1,3) and perpendicul...

    Text Solution

    |

  16. The image of the line (x-1)/(3) = (y-3)/(1) = (z-4)/(-5) in the plane ...

    Text Solution

    |

  17. The equation of the plane whose X- intercept 4,Y - intercept (-6), Z- ...

    Text Solution

    |

  18. The vector equation of the plane 2x-z+1 = 0 is................

    Text Solution

    |

  19. The angle between the planes bar.r (1,2,-1) = 3 and 2x -y + 2z = 2 is ...

    Text Solution

    |

  20. The equation of the plane passing through the intersection of the plan...

    Text Solution

    |