Home
Class 12
MATHS
The shortest distance between the two li...

The shortest distance between the two lines `L_1:x=k_1, y=k_2 and L_2: x=k_3, y=k_4` is equal to

A

`|sqrt(k_1^2+k_2^2)-sqrt(k_3^2+k_4^2)|`

B

`sqrt(k_1k_3+k_3k_4)`

C

`sqrt((k_1+k_3)^2+(k_2+k_4)^2)`

D

`sqrt((k_1-k_3)^2+(k_2-k_4)^2)`

Text Solution

Verified by Experts

The correct Answer is:
(d)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|28 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 4|7 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Find the distance between the points (k, k+1, k+2) and (0, 1, 2).

Find the shortest distance between the lines (x+1/5=y+1/-6=z+1/2 and x-3/4=y-5/-2=z-7/1

Find the shortest distance between the lines : (x+1)/5=(y+1)/-6=(z+1)/2 and (x-3)/4=(y-5)/-2=(z-7)/1 .

Find shortest distance between lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-2)/3=(y-4)/4=(z-5)/5

Consider the lines : L_1: (x-7)/3=(y-7)/2=(z-3)/1 and L_2: (x-1)/2=(y+1)/4=(z+1)/3 . If a line 'L' whose direction ratios are intersects the lines L_1 and L_2 at A and B respectively, then the distance of (AB)/2 is:

The lines x+(k-1)y+1=0 and 2x+k^2y-1=0 are at right angles if

If x=1,y-2 is a solution of 2x+3y=k, find the value of k.

Read the following passage and answer the questions. Consider the lines L_(1) : (x+1)/(3)=(y+2)/(1)=(z+1)/(2) L_(2) : (x-2)/(1)=(y+2)/(2)=(z-3)/(3) Q. The shortest distance between L_(1) and L_(2) is

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. Find the value of x Equation is x+2=9

    Text Solution

    |

  2. If the three planes rcdotn1=p1, rcdotn2=p2 and rcdotn3=p3 have a commo...

    Text Solution

    |

  3. A pentagon is formed by cutting a triangular corner from a rectangular...

    Text Solution

    |

  4. In a three-dimensional coordinate system, P ,Q ,a n dR are images o...

    Text Solution

    |

  5. A plane 2x+3y+5z=1 has a point P which is at minimum distance from lin...

    Text Solution

    |

  6. Evaluate int x^5 dx

    Text Solution

    |

  7. A cube C={(x, y, z)|o le x, y, zle1} is cut by a sharp knife along the...

    Text Solution

    |

  8. A ray of light is sent through the point P(1,2,3) and is reflected on ...

    Text Solution

    |

  9. Find dy/dx if 2x-3sinx=2y

    Text Solution

    |

  10. The shortest distance between any two opposite edges of the tetrahedro...

    Text Solution

    |

  11. The angle between the pair of planes represented by equation 2x^(2)-2y...

    Text Solution

    |

  12. Find the value of x Equation is x+1=1

    Text Solution

    |

  13. The four lines drawing from the vertices of any tetrahedron to the cen...

    Text Solution

    |

  14. The shorteast distance from (1, 1, 1) to the line of intersection of t...

    Text Solution

    |

  15. The shortest distance between the two lines L1:x=k1, y=k2 and L2: x=k3...

    Text Solution

    |

  16. A=[{:(l(1),m(1),n(1)),(l(2),m(2),n(2)),(l(3),m(3),n(3)):}] and B=[{:(p...

    Text Solution

    |

  17. ABCD is a tetrahedron such that each of the triangleABC, triangleABD a...

    Text Solution

    |

  18. What is 13% Equals to

    Text Solution

    |

  19. A variable plane makes intercepts on X, Y and Z-axes and it makes a t...

    Text Solution

    |

  20. Find the multiplication of 225×0

    Text Solution

    |