Home
Class 12
MATHS
Find the equation of the perpendicular f...

Find the equation of the perpendicular from point `(3,-1,11)` to line `x/2=(y-2)/3=(z-3)/4`. Also, find the coordinates of foot of perpendicular and the length of perpendicular.

A

`(x+1)/1 = (y-3)/-6 = (z+11)/3`

B

`(x-3)/2 = (y-1)/-6 = (z+11)/3`

C

`(x-3)/1 = (y+1)/-6 = (z-11)/4`

D

`(x-3)/2 = (y+1)/6 = (z-11)/7`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|582 Videos
  • LINEAR PROGRAMMING

    NIKITA PUBLICATION|Exercise MCQs|101 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the perpendicular drawn from the point P(-2,3) to the line x-4y+7=0. Also, find the coordinates of the foot of the perpendicular.

Find the length of the perpendicular from point (3,4,5) on the line (x-2)/2=(y-3)/5=(z-1)/3.

Find the equation of the perpendicular drawn from the origin to the line 4x-3y+5=0. Also, find the coordinates of the foot of the perpendicular.

Find the equations of the perpendicular from the point (1,6,3) to the line (x)/(1)=(y-1)/(2)=(z-2)/(3). Find also the coordinates of the foot of perpendicular.

Foot of the perpendicular drawn from the point (3,-1,11) to the x/2 = (y-2)/3 = (z-3)/4 is the point

Find the equation of the perpendicular drawn from (2,4,-1) to the line (x+5)/1=(y+3)/4=(z-6)/3 .

Find the length of the perpendicular from the point (2,3,7) to the plane 3 x - y - z = 7 . Also , find the co-ordinates of the foot of the perpendicular .

Find the length of perpendicular from point (3,-2) to the line 3x-4y-2=0 .

Find the foot of the perpendicular from the point (0,2,3) on the line (x+3)/(5)=(y-1)/(2)=(z+4)/(3) . Also,find the length of the perpendicular.

NIKITA PUBLICATION-LINE-MULTIPLE CHOICE QUESTIONS
  1. Find the equation of the line passing through the point (3,1,2) and pe...

    Text Solution

    |

  2. Find the equation of the line passing through the point (3,1,2) and pe...

    Text Solution

    |

  3. Find the equation of the perpendicular from point (3,-1,11) to line x...

    Text Solution

    |

  4. The equation of line passing through (3,-1,2) and perpendicular to the...

    Text Solution

    |

  5. The vector equation of the line passing through the point (-1, -1 ,2) ...

    Text Solution

    |

  6. The cartesian equation of a line is (x - 6) /(2) = ( y + 4)/(7) = (z -...

    Text Solution

    |

  7. The vector equation of a line (x+5)/3 = (y+4)/5 = (z+5)/6 is

    Text Solution

    |

  8. The cartesian equation of a line is 3x + 1 = 6 y - 2 =...

    Text Solution

    |

  9. The cartesian equation of a line is 3x - 1 = 6y + 2 = 1 - z . Find the...

    Text Solution

    |

  10. The vector equation of the line passing through the point (-1, -1 ,2) ...

    Text Solution

    |

  11. The vector form of the equation of the line 6x - 2 = 3y + 1 = 2z - 2 ...

    Text Solution

    |

  12. The vector equation of the line (x+2)/(3)=(1-y)/(-2)=(z-5)/(7) is

    Text Solution

    |

  13. The Cartesian equationof a line are 3x+1=6y=2=1-z. Find the direction ...

    Text Solution

    |

  14. The Cartesian equationof a line are 3x+1=6y=2=1-z. Find the direction ...

    Text Solution

    |

  15. The equation of line is 2x - 2 = 3y + 1 = 6z - 2 find its directi...

    Text Solution

    |

  16. Direction cosines of the line (x+2)/(2)=(2y-5)/(3),z=-1 are

    Text Solution

    |

  17. If(x-1)/l=(y-2)/m=(z+1)/n is the equation of the line through (1,2,-1)...

    Text Solution

    |

  18. The straight line (x-3)/3=(y-2)/1=(z-1)/0 is Parallel to x-axis Parall...

    Text Solution

    |

  19. The points (-2,3,4), (1,1,2) and (4,-1,0) are

    Text Solution

    |

  20. The points with position vectors 5hati + 5hatk, -4hati + 3hatj - hatk ...

    Text Solution

    |