Home
Class 12
MATHS
The direction cosines of the normal to t...

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

A

`(-1)/sqrt(14), (-2)/sqrt(14),3/sqrt(14)`

B

`(1)/sqrt(14), (2)/sqrt(14),3/sqrt(14)`

C

`(-1)/sqrt(14), (2)/sqrt(14),3/sqrt(14)`

D

`(1)/sqrt(14), (-2)/sqrt(14),(-3)/sqrt(14)`

Text Solution

Verified by Experts

The correct Answer is:
A
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

What are the direction-cosines of the normal to the plane 3x + 2y - 3z = 8 ?

The direction cosines of the normal to the plane 5y+4=0 are

The directions cosines of the normal to the plane 2x-y +2z =3 are

Find the direction cosines of the normal to the plane y=3 .

The direction cosines of the normal to the plance 4x + 8y + z= 5 are

Find the direction cosines of the normal to YZ plane?

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

The direction cosines of any normal to YZ-plane are

The direction cosines of any normal to ZX-plane are

Find the direction cosines of the normal to the plane 3x+4=0 .

AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - A
  1. A line line makes the same angle theta with each of the x and z-axes....

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. The distance of the point (1,-2,3) from the plane x-y+z=5 measured par...

    Text Solution

    |

  5. The coordinates of the point in which the line joining the points (2,...

    Text Solution

    |

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

    Text Solution

    |

  7. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(-2) and (x-1)/(3k)=(y-5)/1=(...

    Text Solution

    |

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

    Text Solution

    |

  9. The lines (x-2)/1=(y-3)/2=(z-4)/(-2k)and (x-1)/k=(y-2)/3=(z-6)/1 are...

    Text Solution

    |

  10. If the lines (x-1)/2=(y+1)/3=z/(5t-1) and (x+1)/(2s+1)=y/2=z/4 are p...

    Text Solution

    |

  11. Find value of lambda if two lines having direction ratios 1, -2, 3 and...

    Text Solution

    |

  12. If plane passes through the point (1, 1,1) and is perpendicular to the...

    Text Solution

    |

  13. Find the equation of a plane containing the line of intersection of...

    Text Solution

    |

  14. The plane passing through the point (-2, -2, -3) and containing the ...

    Text Solution

    |

  15. Equation of plane parallel to 3x + 4y + 5z - 6 = 0, 6x + 8y + 10z - 16...

    Text Solution

    |

  16. If the plane 3x - 4y + 5z = 0 is parallel to (2x-1)/4=(1-y)/(3)=(z-2)...

    Text Solution

    |

  17. Find the foot of perpendicular from (0, 2, 3) to the line (x-3)/2= (...

    Text Solution

    |

  18. The shortest distance between the lines (x-1)/2= (y-1)/3=(z+2)/6and ...

    Text Solution

    |

  19. Prove that the acute angle between two diagonals of a cube is cos^-1(1...

    Text Solution

    |

  20. The distance of a plane 3x + 4y - 5z = 60 from origin

    Text Solution

    |