Home
Class 12
MATHS
The distance of the point (2,3,-4) from ...

The distance of the point (2,3,-4) from the point of intersection of the line `(x-1)/-3 = (y-2)/2 = (z-2)/1 `and the plane` 2x-3y-z-20 =0` is

A

`sqrt24`

B

`sqrt23`

C

`sqrt66`

D

`sqrt19`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

  • VECTORS AND THEIR APPLICATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|296 Videos

Similar Questions

Explore conceptually related problems

The distance of the point (1, 0, 2) from the point of intersection of the line (x-2)/3=(y+1)/4 =(z-2)/12 and the plane x-y+z=16, is :

The distance of the point (1,0,2) from the point of intersection of the line (x-2)/(3)=(y+1)/(4)=(z-2)/(12) and the plane x-y+z=16 is

The angle between the line (x-2)/3 = (y+1)/1 = (z-2)/(-1) and the plane 3x-4y+z = 3 is

The point of intersection of the line (x-5)/3 = (y-7)/(-1) = (z+2)/1 , (x+3)/(-36) = (y-3)/2 = (z-6)/4 is

The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane : 2x-y+z+3=0 is the line :

The distance of the point (3,8,2) from the line (x-1)/2 = (y-3)/4 = (z-2)/3 measured parallel to the plane 3x+2y-2z +15 = 0 is

Find the distance of the point (3,-2,1) from the plane 2x-y+2z+3=0.

Find the distance of the point (3,-2,1) from the plane 2x -y+2z +3=0

The distance of the point (1, 2) from the line x+y=0 measured parallel to the line 3x-y=2 is :

The image of the point (- 1, 3, 4) in the plane: x-2y=0 is:

HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. The angle between the line (x-2)/3 = (y+1)/1 = (z-2)/(-1) and the plan...

    Text Solution

    |

  2. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2 and (x-1)/(3k)=(y-1)/1=(z-6...

    Text Solution

    |

  3. The distance of the point (2,3,-4) from the point of intersection of t...

    Text Solution

    |

  4. If the lines : (x-1)/2 =(y+1)/3 =(z-1)/4 and (x-3)/1=(y-k)/2 =z/1 in...

    Text Solution

    |

  5. Equation of the plane passing through (2,3,4) and parallel to the plan...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. The coordinates of the foot of the perpendicular drawn from the point ...

    Text Solution

    |

  9. P is a point on the line segment joining the points (3, 2, – 1) and (6...

    Text Solution

    |

  10. If alpha, beta, gamma are the angles that a line makes with the positi...

    Text Solution

    |

  11. The distance of the point P(a, b, c) from the x-axis is

    Text Solution

    |

  12. The equation of x-axis in space are

    Text Solution

    |

  13. A line makes equal angles with coordinate axes. Direction cosines of t...

    Text Solution

    |

  14. Distance of the point (alpha, beta, gamma) from the y-axis is

    Text Solution

    |

  15. If the direction cosines of a line are k,k,k then

    Text Solution

    |

  16. Distance of the plane vec r . (2/7 i + 3/7 j + 6/7 k ) = 1 from the or...

    Text Solution

    |

  17. The sine of the angle between the straight the (x-2)/(3)=(3-y)/(-4)=(z...

    Text Solution

    |

  18. Reflection of the point (alpha, beta, gamma) in XY plane is

    Text Solution

    |

  19. The area of the quadrilateral ABCD, where A (0, 4, 1), B (2, 3, - 1), ...

    Text Solution

    |

  20. The locus represented by xy+yz=0 is

    Text Solution

    |