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

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

A

`10/(6sqrt(5))`

B

`4/(5sqrt(2))`

C

`(2sqrt(3))/5`

D

`sqrt(2)/10`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - B|47 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - C|14 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise TRY YOURSELF|97 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section - J (Akash Challengers Question)|15 Videos

Similar Questions

Explore conceptually related problems

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

The angle between the line (x)/(3)=(y)/(4)=(z)/(5) "and the plane " 2x+y-2z=7 is

The distance between the line (x-2)/(1)=(y-3)/(1)=(z-4)/(5) and the plane 2x+3y-z+5=0 is

Find the angle betweenthe line (x-2)/-1=(y+3)/2=(z+4)/3 and the plane 2x-3y+z=5 .

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

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

AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - A
  1. Find the equation of plane containing the line x+ y - z = 0 = 2x – y +...

    Text Solution

    |

  2. The equation of the plane passing through the intersection of x + 2y +...

    Text Solution

    |

  3. A unit vector normal to the plane through the points vecr, 2hatj and...

    Text Solution

    |

  4. The direction cosines of the normal to the plane x + 2y - 3z + 4 = 0...

    Text Solution

    |

  5. The two lines x=ay+b, z=cy+d and x= a' y+ b', z= c' y +d' will be perp...

    Text Solution

    |

  6. Find the acute angle between the two straight lines whose direction co...

    Text Solution

    |

  7. Find the coordinates of the foot of perpendicular drawn from th poi...

    Text Solution

    |

  8. एक रेखा की दिक्-कोसाइन ज्ञात कीजिए तो निर्देशांक्षो के साथ समान कोण ...

    Text Solution

    |

  9. A unit vector perpendicular to the plane of veca = 2hati -6hatj -3hat...

    Text Solution

    |

  10. Find the angle between the lines whose direction cosines are given by ...

    Text Solution

    |

  11. If direction cosines of a line are (1/a, 1/a, 1/a) then

    Text Solution

    |

  12. The planes: 2x y + 4z = 5 a n d 5x 2. 5 y + 10 z = 6are(A) Perpendic...

    Text Solution

    |

  13. Find the distance between the planes 2x+3y+4z=4 and 4+6y+8z=12.

    Text Solution

    |

  14. Find the equation of the plane passing through the point (-1, 3, 2)...

    Text Solution

    |

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

    Text Solution

    |

  16. Find the reflection of the point (alpha, beta, gamma) in the XY-plane,...

    Text Solution

    |

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

    Text Solution

    |

  18. If the line (x-1)/2=(y+3)/1=(z-5)/(-1) is parallel to the plane px +...

    Text Solution

    |

  19. A tetrahedron has vertices O(0,0,0),A(1,2,1),B(2,1,3),a n dC(-1,1,2), ...

    Text Solution

    |

  20. Equation of the line of the shortest distance between the lines x/2=y/...

    Text Solution

    |