Home
Class 12
MATHS
If the lines (x-1)/(2)=(y-1)/(lambda)=(z...

If the lines `(x-1)/(2)=(y-1)/(lambda)=(z-3)/(0)` and
`(x-2)/(1)=(y-3)/(3)=(z-4)/(1)` are perpendicular, then `lambda` is

A

`(-2)/(3)`

B

`(-3)/(2)`

C

`(2)/(3)`

D

`(3)/(2)`

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

If the lines (x-1)/(-3) =(y-2)/(2lambda) =(z-3)/(2) " and " (x-1)/(3lambda) =(y-1)/(1)=(6-z)/(5) are perpendicular to each other then find the value of lambda

The value of alpha for which the lines (x-1)/(2)=(2y-1)/(3)=(1-3z)/(alpha) and (x+1)/(2)=(3y-5)/(2)=(z-4)/(3) are perpendicular to each other is

What is the value of lambda for which the lines (x-1)/(2)=(y-3)/(5)=(z-1)/(lambda) and (x-2)/(3)=(y+1)/(-2)=(z)/(2) are prependicular to each other

Show that the lines (x-1)/(1) = (y)/(-5) = z/3 and (x+1)/(7) = (y)/(2) - (z-3)/(1) are perpendicular.

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

If lines (x -1)/(2) = (y+1)/(3) = (z-1)/(4) and (x-3)/(1) =(y -lambda)/(2) = (z)/(1) intersect each other then lambda = …..

Write the value of lambda for which the lines (x-3)/(-3)=(y+2)/(2lambda)=(z+4)/2a n d(x+1)/(3lambda)=(y-2)/1=(z+6)/(-5) are perpendicular to each other.

(i) Show that the line (x+3)/(2) = (y+1)/(-1) = (z+3)/(3) and (x)/(5) = (y-5)/(1) = (z-3)/(-3) are perpendicular. (ii) Show that the lines (x-4)/(-2) = (y+3)/(4) = (z+1)/(1) are mutually perpendicular.

TARGET PUBLICATION-LINE-Critical Thinking
  1. The lines barr=(2hati+hatj-3hatk)+((t)/(sqrt(6)))(2hati-hatj+hatk)an...

    Text Solution

    |

  2. The lines vecr=(2hati-3hatj+7hatk)+lamda(2hati+phatj+5hatk) and ve...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |