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

Find the equation of the perpendicular drawn from the point (`2,4,-1)` to the line `x+5=(1)/(4)(y+3)=-(1)/(9)(z-6)` and obtain the co-ordinates of the foot of this perpendicular

A

`(x-2)/(6)=(y-4)/(3)=(z+1)/(2),(-4,1,-3)`

B

`(x-3)/(2)=(y-4)/(6)=(z+1)/(2),(-1,4,3)`

C

`(x+3)/(6)=(y-4)/(3)=(z-2)/(2),(3,4,1)`

D

`(x-2)/(3)=(y+4)/(6)=(z+1)/(2),(4,1,3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LINE

    TARGET PUBLICATION|Exercise Competitive Thinking|45 Videos

  • LINE

    TARGET PUBLICATION|Exercise Evaluation Test|1 Videos

  • LINE

    TARGET PUBLICATION|Exercise Evaluation Test|1 Videos

  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

  • LINEAR PROGRAMMING

    TARGET PUBLICATION|Exercise Evaluation Test|11 Videos

Similar Questions

Explore conceptually related problems

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 equations of the perpendicular drawn from the point P(2,4,-1) to the line: (x + 5)/(1) = (y + 3)/(4) = (z-6)/(-9) . Also, write down the co-ordinates of the foot of the perpendicular from P to the line.

The length of the perpendicular drawn from the point (5,4,-1) on the line (x-1)/(2)=(y)/(9)=(z)/(5)

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.

Find the length of perpendicular drawn from point (2,-1) to the line 3x+4y-11=0 .

The foot of the perpendicular form (2,4,-1) to the line x +5 =(1)/(4) (y+3) = -(1)/(9) (z - 6) is

Find the co-ordinates of the foot of perpendicular drawn from the point (3,-3) to the line x-2y=4 .

Find the coordinates of the foot of the perpendicular drawn from the point (2,3) to the line y=3x+4

Find the length of the perpendicular drawn from point (2,3,4) to line (4-x)/(2)=(y)/(6)=(1-z)/(3)

The foot of the perpendicular drawn from point (2,-3,1) to the line (x+1)/2 = (y-3)/3 = (z+2)/-1 is

TARGET PUBLICATION-LINE-Critical Thinking
  1. The lines vecr=(2hati-3hatj+7hatk)+lamda(2hati+phatj+5hatk) and ve...

    Text Solution

    |

  2. If the lines (x-1)/(2)=(y-1)/(lambda)=(z-3)/(0) and (x-2)/(1)=(y-3)/...

    Text Solution

    |

  3. The lines and (x-1)/(3)=(y-2)/(4)=(z-3)/(5) (x-1)/(2)=(y-2)/(3)=(z-3)...

    Text Solution

    |

  4. Let veca=hati+hatj and vecb=2hati-hatk. Then the point of intersection...

    Text Solution

    |

  5. If the sum of the squares of the distances of a point from the three c...

    Text Solution

    |

  6. The foot of perpendicular from the point (1,2,3) to the line (x)/(2)=(...

    Text Solution

    |

  7. The co-ordinates of the foot of the perpendicular from the point (3,-1...

    Text Solution

    |

  8. Find the foot of the perpendicular from the point (0,2,3) on the line ...

    Text Solution

    |

  9. The length of perpendicular from the origin to the line vecr=(4hati=2h...

    Text Solution

    |

  10. The length of the perpendicular drawn from the point (5,4,-1) on the l...

    Text Solution

    |

  11. The length of perpendicular from (2, -1, 5) to the line (x-11)/(10)=(y...

    Text Solution

    |

  12. The co-ordinates of a point on the line (x-1)/(2)=(y+1)/(-3)=z at a di...

    Text Solution

    |

  13. A line passes through two points A(2,-3,-1) and B(8,-1,2). The coordin...

    Text Solution

    |

  14. Find the equation of the perpendicular drawn from the point (2,4,-1) t...

    Text Solution

    |

  15. Two lines (x)/(1)=(y)/(2)=(z)/(3)and(x+1)/(1)=(y+2)/(2)=(z+3)/(3) are

    Text Solution

    |

  16. Find the shortest distance between the following pair of line: vecr=(1...

    Text Solution

    |

  17. The shortest distance between lines barr=(lambda-1)hati+(lambda+1)hatj...

    Text Solution

    |

  18. If the lines (x-1)/(k)=(y+1)/(3)=(z-1)/(4)and(x-3)/(1)=(2y-9)/(2k)=(z)...

    Text Solution

    |

  19. Find the angle between the line: vecr=4hati-hatj+lamda(hati+2hatj-2hat...

    Text Solution

    |

  20. A line segment has length 63 and direction ratios are 3, -2, 6. The ...

    Text Solution

    |