Home
Class 12
MATHS
Show that the lines ( x+1)/(-10) = ( y +...

Show that the lines `( x+1)/(-10) = ( y + 3)/(-1) = ( z - 4) / (1) "and" (x + 10)/(-1) = ( y+1)/(-3) = (z -1)/(4)` intersect each other and find the coordinates of the points of intersection .

A

(11,4,5)

B

(-11,-4,-5)

C

(11,-4,5)

D

(-11,-4,5)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|582 Videos
  • LINEAR PROGRAMMING

    NIKITA PUBLICATION|Exercise MCQs|101 Videos

Similar Questions

Explore conceptually related problems

Show that the lines : (x + 1)/(3) = (y + 3)/(5) = (z + 5)/(7) and " " (x -2)/(1) = (y - 4)/(3) = (z -6)/(5) intersect each other. Also, find the their point of intersection.

Show that the lines (x-4)/(1) = (y+3)/(-4) = (z+1)/(7) and (x-1)/(2) = (y+1)/(-3) = (z+10)/(8) intersect. Also find the co-ordinates of their point of intersection.

The line (x+1)/(-10)=(y+3)/(-1)=(z-4)/1 and (x+10)/(-1)=(y+1)/(-3) =(z-1)/(4) interest at the point.

If the lines ( x - 1 ) /(2 ) = ( y + 1) / ( 3 ) = ( z - 1 ) / ( 4 ) and ( x - 3 ) / ( 1 ) = ( y - k ) / ( 2 ) = (z) / ( 1 ) intersect, then find the value of k.

If lines (x -1)/(2) = (y+1)/(3) = (z-1)/(4) and (x-3)/(1) =(y -lambda)/(2) = (z)/(1) intersect each other then lambda = …..

Show that the lines (x)/(1) =(y-2)/(2)=(z+3)/(3) " and " (x-2)/(2) =(y-6)/(3) =(z-3)/(4) intersect and find their point of intersection.

Line (x-2)/(-2) = (y+1)/(-3) = (z-5)/1 intersects the plane 3x+4y+z = 3 in the point

Show that the lines (x-1)/(2)=(y-2)/(y-1)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=z intersect

If lines : (x -1)/(2) = (y + 1)/(3) = (z - 1)/(4) and (x - 3)/(1) = (y - k)/(2) = (z)/(1) intersect, then find the value of 'k' and hence find the equation of the plane containing these lines.

Show that the lines (x+1)/(3)=(y+3)/(5) =(z+5)/(7) " and " (x-2)/(1)=(y-4)/(3)=(z-6)/(5) intersect. Also find their point of intersection.

NIKITA PUBLICATION-LINE-MULTIPLE CHOICE QUESTIONS
  1. Let veca=-hati-hatk,vecb =-hati + hatj and vecc = i + 2hatj + 3hatk be...

    Text Solution

    |

  2. Find the shortest distance between the lines vecr = hati+ hatj+hatk+...

    Text Solution

    |

  3. Show that the lines ( x+1)/(-10) = ( y + 3)/(-1) = ( z - 4) / (1) "an...

    Text Solution

    |

  4. The point of intersection of the lines (x-5)/3=(y-7)/(-1)=(z+2)/1a ...

    Text Solution

    |

  5. If the lines (x-4)/15 = (y-17)/9 = (z-11)/8 and (x-15)/4 = (y-9)/17 = ...

    Text Solution

    |

  6. If the lines (x-1)/2=(y+1)/3=(z-1)/4a n d(x-3)/1=(y-k)/2=z/1 intersect...

    Text Solution

    |

  7. If the straight lines (x-1)/k=(y-2)/2=(z-3)/3 and (x-2)/3=(y-3)/k=...

    Text Solution

    |

  8. Find the vector equation of a line parallel to the vector 2hati-hatj+2...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. If AB=21, B-=(-2,1,-8) and the direction cosines of AB are 6/7, 2/7, 3...

    Text Solution

    |

  12. A line passes through two points A(2,-3,-1) and B(8,-1,2). The coordin...

    Text Solution

    |

  13. If the lines x=a(1)y + b(1), z=c(1)y +d(1) and x=a(2)y +b(2), z=c(2)y ...

    Text Solution

    |

  14. If the lines (1 -x )/(3) = ( 7y - 14)/(2 lamda) = (z - 3)/(2) "and" (7...

    Text Solution

    |

  15. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(-2)a n d(x-1)/(3k)=(y-5)/1=(...

    Text Solution

    |

  16. If the lines x-2 = ay-3 =(2-z)/3 and bx +1 = y+4=z are perpendicular t...

    Text Solution

    |

  17. The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)...

    Text Solution

    |

  18. Find the angle between the pair of line: vecr=3hati+2hatu-4hatk+lamds(...

    Text Solution

    |

  19. Find the angle between the following pair of line: r=2hati-=5hatj+hatk...

    Text Solution

    |

  20. Find the angle between the pair of lines (x -1 )/(4) = ( y - 3)/(1)...

    Text Solution

    |