Home
Class 12
MATHS
Distance between the two planes 2x-2y+z ...

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

A

`20/9`

B

`10/9`

C

`20/3`

D

`10`

Text Solution

Verified by Experts

The correct Answer is:
B
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...............

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

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

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

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

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

If the distance between the palens 2x- y + 2z = 1 and 4x-2y + 4z = k is 1/6 then k = ...............

Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

The angle between the lines 2x=3y=-z and 6x=-y=-4z 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 equation of the plane containing the lines vec r = vec (a1) + lamb...

    Text Solution

    |

  2. If the lines vec r = vec a + lambda (vec b xx vec c) and vec r = vec b...

    Text Solution

    |

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

    Text Solution

    |

  4. The plane 2x - (1- lambda) y+ 3 lambda z= 0 is passing through the lin...

    Text Solution

    |

  5. A plane passes through (1,1,1). It is perpendicular to the line (x-1)/...

    Text Solution

    |

  6. The equation of the plane passing through the line of intersection of ...

    Text Solution

    |

  7. The vector equation of the plane containing the line vec r (-2 hat i -...

    Text Solution

    |

  8. The plane passing through the intersection of the planes x+y +z =1 and...

    Text Solution

    |

  9. The equation of line passing through the point (-4,3,1) parallel to th...

    Text Solution

    |

  10. The equation of plane containing the line x/2 = y/3 = z/4 and perpendi...

    Text Solution

    |

  11. If the lines x = ay + b ,z = cy + d and x= a'z + b',y = c'z + d'' are ...

    Text Solution

    |

  12. The plane parallel to the lines (x+2)/(3) = (y-2)/(-1) = (z+1)/(2) an...

    Text Solution

    |

  13. A point A is on the line vec r = (1- 3mu ) hat i + (mu - 1) hat j + ...

    Text Solution

    |

  14. The distance of the point (2,-1,-2) from the line (x-1)/(2) = (y+3)/(2...

    Text Solution

    |

  15. Three planes 4y+6z = 5, 2x + 3y + 5z = 5 and 6x + 5y + 9z = 10 ..........

    Text Solution

    |

  16. A variable plane makes with the co-ordinates plane, tetrahedron of con...

    Text Solution

    |

  17. If the lines (2x-5)/(k) = (y+2)/(-5) = (z)/(1) and (x)/(1) = (y)/(2) ...

    Text Solution

    |

  18. If the plane 2x + 3y + 4z = 1 intersects X-axis, Y-axis and Z-axis at...

    Text Solution

    |

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

    Text Solution

    |

  20. Let P be a plane passing through the points (2,1,0),(4,1,1) and (5,0,1...

    Text Solution

    |