Home
Class 11
MATHS
The equation of line passing throufh...

The equation of line passing throufh `(3,-1,2)` and perpendicular to the lines
` bar r =(hati + hatj -hatk )+ lamda (2 hati - 2 hatj +hatk ) and bar r =(2 hati + hatj - 3hatk )+ mu (hati -2 hatj + 2hatk )` is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2017

    MARVEL PUBLICATION|Exercise QUESTION|50 Videos

  • SEQUENCES AND SERIES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|81 Videos

Similar Questions

Explore conceptually related problems

The shortest distance between the lines r = ( - hati - hatj - hatk ) + lamda ( 7 hati - 6 hatj + hatk ) and r = ( 3 hati + 5 hatj + 7 hatk ) + mu ( hati - 2 hatj + hatk )

Find the angle between the pair of lines bar r = ( 3 hati + 2 hatj - 4hatk ) + lamda ( hati + 2hatj + 2hatk ) and bar r = ( 5hati - 2 hatk ) + mu ( 3hati + 2 hatj + 6 hatk )

The acute angle between the line bar r = ( hati + 2 hatj + hatk ) + lamda (hati + hatj +hatk) and the plane bar r ( 2hati - hatj +hatk)=5

The equation of line passing through (3,-1,2) and perpendicular to the lines vecr=(hati+hatj-hatk)+lamda(2hati-2hatj+hatk) and vecr=(2hati+hatj-3hatk) +mu(hati-2hatj+2hatk) is

The angle between the lines bar(r) = (2hati - 5hatj + hatk) + lamda(3hati + 2hatj + 6 hatk ) "and" bar(r) = (7hati - 6hatk) + mu(hati + 2hatj + 2hatk) is

Find the shortest distance betwee the lines : vec(r) = (hati + 2 hatj + hatk ) + lambda ( hati - hatj + hatk) and vec(r) = 2 hati - hatj - hakt + mu (2 hati + hatj + 2 hatk) .

Find the shortest distance between the lines bar(r) = (4hati - hatj) + lamda(hati + 2hatj - 3hatk) and bar(r) = (hati - hatj + 2hatk) + mu(hati + 4hatj - 5hatk).

The vector equation of a line passing through the point hati + 2hatj + 3hatk and perpendicular to the vectors hati +hatj + hatk and 2hati - hatj + hatk is

The angle between the line vecr = ( 5 hati - hatj - 4 hatk ) + lamda ( 2 hati - hatj + hatk) and the plane vec r.( 3 hati - 4 hatj - hatk) + 5=0 is

Show that the lines bar (r) = ( hati + hatj - hatk) + lamda ( 3hati - hatj ) and bar(r) = ( 4hati - hatk ) + mu (2hati + 3hatk) intersect. Find their point of intersection .

MARVEL PUBLICATION-QUESTION PAPER 2018-QUESTION
  1. The line 5x +y-1=0 coincides with one of the lines given by ...

    Text Solution

    |

  2. IF A =[(1,2,3),(-1,1,2),( 1,2,4)]"then " (A^(2) -5A) A^(-1)=

    Text Solution

    |

  3. The equation of line passing throufh (3,-1,2) and perpendicular ...

    Text Solution

    |

  4. Letters in the word HULULULU are rearranged . The probability o...

    Text Solution

    |

  5. The sum of the first 10 terms of the series 9+99+999 +….., is

    Text Solution

    |

  6. If A,B ,C are the angle of Delta ABC then cot A .cot B + c...

    Text Solution

    |

  7. IF (dx)/(sqrt(16-9x^(2)))=A sin^(-1) (bx )+c then A+B=

    Text Solution

    |

  8. int e^(x) [(2+sin 2x)/( 1+cos 2x )]dx =

    Text Solution

    |

  9. A coin is tossed three times .If X denotes the absolute diffe...

    Text Solution

    |

  10. IF 2 sin ( theta +(pi)/(3)) = cos (theta -(pi)/(6)), then ta...

    Text Solution

    |

  11. The area of the region bounded by x^(2) = 4y , y=1, y=4 and the...

    Text Solution

    |

  12. If f(x) =(e^(x^(2))-cos x)/(x^(2)), for x ne 0 is continous at ...

    Text Solution

    |

  13. The maximum value of 2x +y subject to 3x +5y le 26 and 5x +...

    Text Solution

    |

  14. IF bar a , bar b , bar c are mutually perpendicular vectors hav...

    Text Solution

    |

  15. IF points p( 4,5,x),Q (3,y,4) and R (5,8,0) are collinear , then ...

    Text Solution

    |

  16. IF the slope of one of the lines given by ax^(2) +2hxy + by...

    Text Solution

    |

  17. The equation of the line passing through the point (-3,1) and...

    Text Solution

    |

  18. The negation of the statement : Getting above 95% marks is n...

    Text Solution

    |

  19. cos 1^(@) ."" cos 2^(@) ."" cos 3^(@) "…." cos 179 ^(@)=

    Text Solution

    |

  20. If planes x- cy - bz =0 , cx-y+az =0 and bx + ay - z=0 pass th...

    Text Solution

    |