Home
Class 12
MATHS
The sine of the angle between the straig...

The sine of the angle between the straight the `(x-2)/(3)=(3-y)/(-4)=(z-4)/(5)` and the plane `2x-2y+z=5` is

A

`10/(6sqrt5)`

B

`4/(5sqrt2)`

C

`(2sqrt3)/5`

D

`(sqrt2)/10`

Text Solution

Verified by Experts

The correct Answer is:
D
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 sine of the angle between the straight line (x-2)/3 = (y-3)/4 = (z-4)/5 and the plane, 2x-2y+z = 5 is

Find the angle between the line (x+1)/(2)=(y)/(3)=(z-3)/(6) and the plane 10x+2y-11z=3

Find the angle between the line (x+1)/(2)= (y)/(3)= (z-3)/(6) and the plane 10x+2y-11z=3

Acute angle between the line (x-5)/(2)=(y+1)/(-1)=(z+4)/(1) and the plane 3x – 4y – Z + 5 = 0 is

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

The line (x-2)/(3)=(y-3)/(4)=(z-4)/(5) is parallel to the plane

Acute angle between the line (x-5)/2=(y+1)/-1=(z+4)/1 and the plane 3x-4y-z+5=0 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 :

Find the angle between the line (x+1)/2=y/3=(z-3)/6 and the plane 10x + 2y - 11z = 3.

HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. If the direction cosines of a line are k,k,k then

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. The plane 2x-3y+6z-11=0 makes an angle sin^(-1)(alpha) with X - axis. ...

    Text Solution

    |

  8. A line with direction cosines proportional to 2,1,2 meets each of the ...

    Text Solution

    |

  9. A line makes some angle theta, with each of the x and z-axis. If the a...

    Text Solution

    |

  10. Distance between two parallel planes: 2x + y + 2z = 8 and 4x + 2y + 4z...

    Text Solution

    |

  11. The distance between the line vec r = 2i+2j+3k + lambda (i-j+4k) and t...

    Text Solution

    |

  12. If the angle theta between the (x+1)/1=(y-1)/2=(z-2)/2 and the plane 2...

    Text Solution

    |

  13. The angle between the lines 2x = 3y = - z and 6x =-y = 04z is

    Text Solution

    |

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

    Text Solution

    |

  15. The two lines x=ay+b, z=cy+d and x=a'y+b', z=c'y+d' are perpendicular ...

    Text Solution

    |

  16. A variable plane is at a constant distance k from the origin and meets...

    Text Solution

    |

  17. If P = (0,1,2) and Q = (4,-2,1), O = (0,0,0) then P hat O Q =

    Text Solution

    |

  18. If a line makes angles pi/3 and pi/4 with the x-axis and y-axis respec...

    Text Solution

    |

  19. The foot of the perpendicular from (0,0,0) to the plane is (1,2,2). Th...

    Text Solution

    |

  20. If the plane 7x+11y+13z=3003 meets the axes A, B, C then the centroid ...

    Text Solution

    |