Home
Class 12
MATHS
The symmetric form of the line given by ...

The symmetric form of the line given by
`vecr =(2hati -hatj + 3hatk) + lambda(3hati - 4hatj + 5hatk)` is

A

`(x-2)/3 = (y+1)/-4 = (z-3)/5`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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 points of intersection of the line vecr = 2hati - hatj + 2hatk + lambda(3hati + 4hatj + 2hatk) and the plane vecr.(hati - hatj + hatk) = 5

Find the shortest distance between the lines vecr = 2hati - hatj + hatk + lambda(3hati - 2hatj + 5hatk), vecr = 3hati + 2hatj - 4hatk + mu(4hati - hatj + 3hatk)

Find the angle between the lines given by vecr=(2hati+3hatj+4hatk)-lambda (hati-4hatj+5hatk) and vecr = (hati-hatj+hatk)-s(2hati-3hatj+4hatk)

The shortest distance between the lines vecr = (2hati - hatj) + lambda(2hati + hatj - 3hatk) vecr = (hati - hatj + 2hatk) + lambda(2hati + hatj - 5hatk)

The line of intersection of the planes vecr . (3 hati - hatj + hatk) =1 and vecr. (hati+ 4 hatj -2 hatk)=2 is:

Find the shortest distance and the vector equation of the line of shortest distance between the lines given by vecr=3hati+8hatj+3hatk+lamda(3hati-hatj+hatk) and vecr=-3hati-7hatj+6hatk+mu(-3hati+2hatj+4hatk)

Find the angle between the two lines given by vecr_1=2hati+4hatj+hatk+lambda(3hati+hatj+5hatk) and vecr_2=6hati+9hatj+7hatk+mu(hati+2hatj+hatk)

NIKITA PUBLICATION-LINE-MULTIPLE CHOICE QUESTIONS
  1. Find the equation of the line in Cartesiasn form that passes through t...

    Text Solution

    |

  2. The cartesian equation of a line passing through the point having posi...

    Text Solution

    |

  3. The symmetric form of the line given by vecr =(2hati -hatj + 3hatk) ...

    Text Solution

    |

  4. The cartesian equation of line passing through the points (5,4,3) and ...

    Text Solution

    |

  5. Find the equation of line equally inclined to co-ordinate axes and pas...

    Text Solution

    |

  6. The vector equations of a line passing through the origin and the poin...

    Text Solution

    |

  7. Find the vector wuation of the line passing through the points A(3,4, ...

    Text Solution

    |

  8. the line passing through the points (3, -2--5), and (3, -2,6)

    Text Solution

    |

  9. The vector equation of a line passing through the points (-2,3,4) and ...

    Text Solution

    |

  10. The vector equation of a line passing through the points A(4,2,1) and ...

    Text Solution

    |

  11. A line passing through the points A (-2 , -1 , 5) and B ( 1, 3 , -1) ,...

    Text Solution

    |

  12. The cartesian equation of a line passing through the origin and point ...

    Text Solution

    |

  13. Find the vector wuation of the line passing through the points A(3,4, ...

    Text Solution

    |

  14. the line passing through the points (3, -2--5), and (3, -2,6)

    Text Solution

    |

  15. The equation of a line passing through the points A(4,2,1) and B(2,-1,...

    Text Solution

    |

  16. The equation of a line passing through the points A(2,-1,1) and B(3,1,...

    Text Solution

    |

  17. If the line passing through the points (5,1,p) and (3,q,1) crosses the...

    Text Solution

    |

  18. If x co-cordinate of a point on the line passing through the points (2...

    Text Solution

    |

  19. The equation of a line passing through the points (a,b,c) and(a-b,b-c,...

    Text Solution

    |

  20. Find the cartesian equation of the line which passes through the poin...

    Text Solution

    |