Home
Class 12
MATHS
Find the shortest distance between the s...

Find the shortest distance between the skew-line4s `l_1:(x-1)/2=(y+1)/1=(z-2)/4` and `l_2 : (x+2)/4=(y-0)/(-3)=(z+1)/1`

Text Solution

AI Generated Solution

To find the shortest distance between the skew lines \( l_1 \) and \( l_2 \), we will follow these steps: ### Step 1: Identify the direction ratios and points on the lines The equations of the lines are given as: 1. \( l_1: \frac{x-1}{2} = \frac{y+1}{1} = \frac{z-2}{4} \) 2. \( l_2: \frac{x+2}{4} = \frac{y-0}{-3} = \frac{z+1}{1} \) ...
Promotional Banner

Topper's Solved these Questions

  • TANGENTS AND NORMALS

    RD SHARMA|Exercise Solved Examples And Exercises|244 Videos
  • TRIGONOMETRIC IDENTITIES

    RD SHARMA|Exercise EXAMPLE|1 Videos

Similar Questions

Explore conceptually related problems

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)

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-6)/(3)=(y-7)/(-1)=(z-4)/(1) and (x)/(-3)=(y-9)/(2)=(z-2)/(4)

Find the shortest distance between the lines (x+2)/(-4) = (y)/(1) = (z-7)/(1) and (x+3)/(-4) = (y-6)/(3) = 9/2

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 following lines: (x-3)/(1)=(y-5)/(-2)=(z-7)/(1) and (x+1)/(7)=(y+1)/(-6)=(z+1)/(1)

Find the shortest distance between the lines,(x-1)/(2)=(y-3)/(4)=(x+2)/(1) and 3x-y-2z+4=0=2x+y+z

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

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:

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

RD SHARMA-THE PLANE -Solved Examples And Exercises
  1. Equation of plane which passes through the intersection point of the l...

    Text Solution

    |

  2. Find the coordinates of the point where the line (x-2)/3=(y+1)/4=(z-2)...

    Text Solution

    |

  3. Find the shortest distance between the skew-line4s l1:(x-1)/2=(y+1)/1...

    Text Solution

    |

  4. Find the distance between the line vec r=(- hat i+3 hat k)+lambda( ha...

    Text Solution

    |

  5. Find the image of the point having position vector hati + 3hatj + 4hat...

    Text Solution

    |

  6. A plane meets the coordinate axes at A ,Ba n dC respectively such that...

    Text Solution

    |

  7. Find the equation of a plane which meets the axes in A ,Ba n dC , give...

    Text Solution

    |

  8. Show that the four points (0,-1,-1),(-4,4,4),(4,5,1)a n d(3,9,4) are ...

    Text Solution

    |

  9. If from a point P(a ,b ,c) prpendiculars P Aa n dP B are drawn to y za...

    Text Solution

    |

  10. Find the equation of the plane through the points A(2,2,-1),B(3,4,2)a ...

    Text Solution

    |

  11. A variable plane moves in such a way that the sum of the reciprocals o...

    Text Solution

    |

  12. A plane meets the coordinate axes in A ,B ,C such that eh centroid of ...

    Text Solution

    |

  13. Write the equation of the plane whose intercepts on the coordinate axe...

    Text Solution

    |

  14. Show that the four point (0,-1,-1),(4,5,1),(3,9,4)a n d(-4,4,4) are co...

    Text Solution

    |

  15. Find the image of the point (1,3,4) in the plane 2x-y+z+3=0.

    Text Solution

    |

  16. Find the image of the point with position vector 3 hat i+ hat j+2 hat ...

    Text Solution

    |

  17. Find the length and the foot of perpendicular from the point (1,3//...

    Text Solution

    |

  18. Find the distance between the point with position vector hat i-5 hat ...

    Text Solution

    |

  19. Find the equation of the plane through the intersection of the planes ...

    Text Solution

    |

  20. Show that the plane whose vector equation is vec rdot( hat i+2 hat j-...

    Text Solution

    |