Home
Class 12
MATHS
Distance between the two planes: '2 x+3 ...

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

A

2 units

B

4 units

C

8 units

D

2sqrt29' units

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    V PUBLICATION|Exercise QUESTION BANK|114 Videos
  • VECTOR ALGEBRA

    V PUBLICATION|Exercise QUESTION BANK|117 Videos

Similar Questions

Explore conceptually related problems

Find the angle between the two planes 3 x-6 y+2 z=7 and 2 x+2 y-2 z=5

The planes '2 x-y+4 z=5' and '5 x-2.5 y+10 z=6' are

Find the angle between the planes 2x-y+z=6 and x+y+2z=7.

The angle between the planes x+y+z=1 and x-2y+3z=1 is

(a)Find the distance between the lines 4x+3y=11 and 8x+6y=15 .

V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Find the vector equation of the line passing through the point (1,2,-4...

    Text Solution

    |

  2. Prove that if a plane has the intercepts a, b, c and it is at a distan...

    Text Solution

    |

  3. Distance between the two planes: '2 x+3 y+4 z=4' and '4 x+6 y+8 z=(12)...

    Text Solution

    |

  4. The planes '2 x-y+4 z=5' and '5 x-2.5 y+10 z=6' are

    Text Solution

    |

  5. Can a line have direction angles 45^circ, 60^circ, 135^circ?

    Text Solution

    |

  6. A line makes angles of 45^circ and 60^circ with the positive axes of X...

    Text Solution

    |

  7. Find the direction cosine of a line which makes equal angles with the...

    Text Solution

    |

  8. 1, '-2,-2' are direction ratios of a line. What are its direction cosi...

    Text Solution

    |

  9. Find d.c.'s of the line passing through the points 'P(4,3,-5)' and 'Q(...

    Text Solution

    |

  10. A line passes through the points (6,-7,-1) and (2,-3,1) Find the direc...

    Text Solution

    |

  11. Find the angle between the lines whose diréction ratios are '2,3,4' an...

    Text Solution

    |

  12. Find the obtuse angle between the lines with direction ratios '3,-6,2'...

    Text Solution

    |

  13. If points 'P, Q' are '(2,3,-6)' and '(3,-4,5)', find the angle that OP...

    Text Solution

    |

  14. If A, B, C, D are the points (3,4,5),(4,6,3),(-1,2,4) and (1,0,5), fin...

    Text Solution

    |

  15. Find the coordinates of foot of perpendicular drawn from the point (1,...

    Text Solution

    |

  16. Prove that the Iine joining the midpoints of the two sides of a triang...

    Text Solution

    |

  17. The cartesian equations of a line are 6 x-2=3 y+1=2 z-2. Find directi...

    Text Solution

    |

  18. Find the shortest distance between the lines: vecr=3 hati+8 hatj+3 h...

    Text Solution

    |

  19. Find the shortest distance between the lines vecr = (1-t)hati+(t-2)hat...

    Text Solution

    |

  20. Find the angle between the line (x-2)/3=(y+1)/-1=(z-3)/-2 and the plan...

    Text Solution

    |