Home
Class 12
MATHS
Show that the shortest distance between ...

Show that the shortest distance between the lines `x+a=2y=-12z` and `x=y+2a=6z-6a` is 2a .

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos
  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

Write the distance between the plane x-2y+z=6 and 2x-4y+2z=8

What is the angle between the lines x/1 = y/-2 = z/1 and x/4 = y/1 = z/-2 .

Find the shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/1 and (x+3)/(-3)=(y-7)/2=(z-6)/4 Find also the equation of the line of shortest distance.

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

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Prove that cos^(-1)(frac[b+acosx][a+bcosx])=2tan^(-1)(sqrt(frac[a-b][a...

    Text Solution

    |

  2. Prove that the measure of the angle between two main diagonals of a cu...

    Text Solution

    |

  3. Show that the shortest distance between the lines x+a=2y=-12z and x=y+...

    Text Solution

    |

  4. If e^(y//x)=(x)/(a+bx) then show that x^(3)(d)/(dx)((dy)/(dx))=(x(dy)/...

    Text Solution

    |

  5. Find the extreme values of the function f(x)=x^2e^(-x^2) and show that...

    Text Solution

    |

  6. Shows that the triangle of greatest area that can be inscribed in a ci...

    Text Solution

    |

  7. Find the inverse of [(1,1,2),(0,1,2),(1,2,1)] using elementary operati...

    Text Solution

    |

  8. If [[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z^3-1]]=0 then prove that xyz...

    Text Solution

    |

  9. If A [[1,2,0],[1,1,0],[-1,4,0]],B=[[1,2,3],[1,1,-1],[1,1,1]]"and"C=[[1...

    Text Solution

    |

  10. Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto

    Text Solution

    |

  11. Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto

    Text Solution

    |

  12. Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto

    Text Solution

    |

  13. Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto

    Text Solution

    |

  14. Find the number of binary operations on the set {a,b}.

    Text Solution

    |

  15. If A, B are symmetric matrices of same order, then find AB-BA.

    Text Solution

    |

  16. Let A be square matrix of order 3times3, then find abs(KA) where, k is...

    Text Solution

    |

  17. If A is an invertible matrix of order 2, then find det(A^(-1)).

    Text Solution

    |

  18. Find intx^2e^(x^3)dx

    Text Solution

    |

  19. Give an example of a homogeneous differential equation.

    Text Solution

    |

  20. In triangle ABC, find vec(AB)+vec(BC)+vec(CA)

    Text Solution

    |