Home
Class 12
MATHS
Equation of the line of the shortest dis...

Equation of the line of the shortest distance between the lines `x/2=y/(-3)=z/1` and `(x-2)/3=(y-1)/(-5)=(z+2)/2` is

A

`x -21=y +92/3 = z- 32/3`

B

`x -62/3=y-92/3=z+31/3`

C

`x-21=y -92/3=z+32/3`

D

`x-2=y+3=z-1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - B|47 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - C|14 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise TRY YOURSELF|97 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section - J (Akash Challengers Question)|15 Videos

Similar Questions

Explore conceptually related problems

Equation of the line of the shortest distance between the lines (x)/(1)=(y)/(-1)=(z)/(1) and (x-1)/(0)=(y+1)/(-2)=(z)/(1) is:

Find the magnitude of the shortest distance between the lines (x)/(2)=(y)/(-3)=(z)/(1) and (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) .

Find the shortest distance between the lines (x)/2=(y-2)/3=(z-4)/3 and (x-1)/3=(y-2)/7=(z-3)/8

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

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

The shortest distance between the lines (x-2)/(3)=(y+3)/(4)=(z-1)/(5) and (x-5)/(1)=(y-1)/(2)=(z-6)/(3) , is

Find the length of the shortest distance between the lines (x-1)/2(y-4)/3=(z+1)/(-3) and (x-4)/1=(y-3)/3=(z-2)/2

AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - A
  1. Find the equation of plane containing the line x+ y - z = 0 = 2x – y +...

    Text Solution

    |

  2. The equation of the plane passing through the intersection of x + 2y +...

    Text Solution

    |

  3. A unit vector normal to the plane through the points vecr, 2hatj and...

    Text Solution

    |

  4. The direction cosines of the normal to the plane x + 2y - 3z + 4 = 0...

    Text Solution

    |

  5. The two lines x=ay+b, z=cy+d and x= a' y+ b', z= c' y +d' will be perp...

    Text Solution

    |

  6. Find the acute angle between the two straight lines whose direction co...

    Text Solution

    |

  7. Find the coordinates of the foot of perpendicular drawn from th poi...

    Text Solution

    |

  8. एक रेखा की दिक्-कोसाइन ज्ञात कीजिए तो निर्देशांक्षो के साथ समान कोण ...

    Text Solution

    |

  9. A unit vector perpendicular to the plane of veca = 2hati -6hatj -3hat...

    Text Solution

    |

  10. Find the angle between the lines whose direction cosines are given by ...

    Text Solution

    |

  11. If direction cosines of a line are (1/a, 1/a, 1/a) then

    Text Solution

    |

  12. The planes: 2x y + 4z = 5 a n d 5x 2. 5 y + 10 z = 6are(A) Perpendic...

    Text Solution

    |

  13. Find the distance between the planes 2x+3y+4z=4 and 4+6y+8z=12.

    Text Solution

    |

  14. Find the equation of the plane passing through the point (-1, 3, 2)...

    Text Solution

    |

  15. The locus represented by xy + yz = 0 is

    Text Solution

    |

  16. Find the reflection of the point (alpha, beta, gamma) in the XY-plane,...

    Text Solution

    |

  17. The sine of the angle between the straight line (x-2)/3=(y-3)/4=(z-4)/...

    Text Solution

    |

  18. If the line (x-1)/2=(y+3)/1=(z-5)/(-1) is parallel to the plane px +...

    Text Solution

    |

  19. A tetrahedron has vertices O(0,0,0),A(1,2,1),B(2,1,3),a n dC(-1,1,2), ...

    Text Solution

    |

  20. Equation of the line of the shortest distance between the lines x/2=y/...

    Text Solution

    |