Home
Class 12
MATHS
The two lines bar (r ) = (1,1,-1) + lam...

The two lines `bar (r ) = (1,1,-1) + lambda (3,-1,0) and bar (r ) = ( 4 , -1 , 0 ) + mu (2,0,3) ` are

A

parallel

B

intersecting

C

non-coplanar

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos
  • LINEAR PROGRAMMING PROBLEM [L.P.P] (OPTIMIZATION TECHNIQUES)

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|10 Videos

Similar Questions

Explore conceptually related problems

The shortest distance between the skew lines bar(r) = bar(a_(1)) + lamda bar(b_(1)) "and" bar(r) = bar(a_(2)) + mu bar(b_(2)) is

Let bar(a) =(1,1,-1), bar(b) =(5,-3,-3) and bar(c) =(3,-1,2). If bar(r) is collinear with bar(c) and has length (|bar(a)+bar(b)|)/(2) then bar(r)

Let P be a plane passing through the points (2,1,0), ( lambda - 1 , 1,1) and ( lambda ,0,1) and R be any point (2,1,6) and image of R in P is Q (6,5,-2) then lambda can be (lambda in R)

If the equation of two lines are given by bar(r)=bar(a_(1))+lamdabar(b_(1))andbar(r)=bar(a_(2))+mubar(b_(2)) , where lamda and mu are parmater , then the angle theta between the lines is

Find the shortest distance between the following (1-4) lines whose vector equations are : (i) vec(r) = (lambda - 1) hati + (lambda -1) hatj - (1 + lambda ) hatk and vec(r) = (1 - mu) hat(i) + (2 mu - 1) hatj + (mu + 2) hatk (ii) vec(r) = (1 + lambda) hati + (2 - lambda) hatj + (1 + lambda) hatk and vec(r) = 2 (1 + mu) hati - (1 - mu) hatj + (-1 + 2mu ) hatk .

Determine whether or not the following pairs of lines intersect : vec(r) = (2 lambda + 1) hati - (lambda + 1) hatj + (lambda + 1) hatk. and vec(r) = (3 mu + 2)hati - (5mu + 5 ) hatj + (2 mu - 1) hatk.

The shortest distance the two lines bar(r)=2bar(i)-bar(j)-bar(k)+lambda(2bar(i)+bar(j)+2bar(k)) and bar(r)=(bar(i)+2bar(j)+bar(k))+mu(bar(i)-bar(j)+bar(k)) is

If the points (0,1,-2),(3,lambda,-1) and (mu,-3,4) are collinear,then the value of lambda and mu are given by

MARVEL PUBLICATION-LINE IN SPACE -MULTIPLE CHOICE QUESTIONS
  1. Foot of the perpendicular drawn from the origin to the line x-2 = (y+3...

    Text Solution

    |

  2. Foot of the perpendicular drawn from the point (3,-1,11) to the x/2 = ...

    Text Solution

    |

  3. Find the distance of the point P(3,8,2) from the line 1/2(x-1)=1/4(...

    Text Solution

    |

  4. Show that the lines (x5)/4,(y-7)/4=(z+3)/(-5) and )x-8)/7=(y-4)/1=(z-5...

    Text Solution

    |

  5. Lines (x+1)/(-3) = (y-3)/2 = z+2 and x= (x-7)/(-3) = (z+7)/2 lie in ...

    Text Solution

    |

  6. Lines (x-1)/2 = (y-2)/3 = (z-3)/4 and (x-2)/3 = (y-3)/4 = (z-4)/5 lie ...

    Text Solution

    |

  7. A plane II makes intercept 3 and 4 respectively on x and z axes. If II...

    Text Solution

    |

  8. A vector vecr is equally inclined with the coordinates axes. If the ti...

    Text Solution

    |

  9. If the two lines (x-1)/(-3) = (y-2)/(2m) = (z-3)/2 and (x-1)/(3m) = (y...

    Text Solution

    |

  10. Find the two points on the line ( x - 2 ) / ( 1 ) = ( y + 3)...

    Text Solution

    |

  11. Equations of the line of intersection of the two planes y = b , z = c ...

    Text Solution

    |

  12. Find the coordinates of the points on the line (x +1)/(2) = (y - 2)/(3...

    Text Solution

    |

  13. Find the two points on the line ( x - 2 ) / ( 1 ) = ( y + 3)...

    Text Solution

    |

  14. Shortest distance between the lines bar (r ) (2i- j) + lambda (2i+j-3...

    Text Solution

    |

  15. Shortest distance between the lines bar (r ) = (1 , 2, 1 ) + lambda ...

    Text Solution

    |

  16. The two lines bar (r ) = (1,1,-1) + lambda (3,-1,0) and bar (r ) = ( ...

    Text Solution

    |

  17. Length of perpendicular from the point (3,2,1) to the line (x-7)/2 = ...

    Text Solution

    |

  18. The angle between the lines (x-4)/1 = (y-3)/1 = (z-2)/2 ,

    Text Solution

    |

  19. If P(5,6,-1),Q (2,-7,beta ) and R (-1,-20,7) are collinear , then bet...

    Text Solution

    |

  20. Find the point where the line (x-1)/2=(y-2)/-3=(z+3)/4 meets the plane...

    Text Solution

    |