Home
Class 12
MATHS
If the lines (x-4)/15 = (y-17)/9 = (z-11...

If the lines `(x-4)/15 = (y-17)/9 = (z-11)/8` and `(x-15)/4 = (y-9)/17 = (z-8)/11` are intersecting at point A, then `OA^(2)=`

A

`sqrt(1398)`

B

`sqrt(1390)`

C

1398

D

1390

Text Solution

Verified by Experts

The correct Answer is:
C
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

The lines (x-4)/(15)=(y-17)/(0)=(z-11)/(8) and (x-15)/(4)=(y-9)/(17)=(z-8)/(11) intersect at the point P then square of the distance of P from the origin is

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.

Do the lines (x+3)/(-4)=(y-4)/1=(z+1)/7 and (x+1)/(-3)=(y-1)/2=(z+10)/8 intersect? If so find the point of intersection.

The line (x-3)/1=(y-4)/2=(z-5)/2 cuts the plane x+y+z=17 at

If the straighat lines (x+1)/2=(-y+1)/3=(z+1)/(-2)=and (x-3)/1=(y+lamda)/2=z/3 intersect then the value of lamda is (A) -5/8 (B) -17/8 (C) -13/8 (D) -15/8

Equations of the line through (4,-5,6) and perpendicular to the lines (x-11)/1=(y+6)/(-3) = (z-5)/0 and (x-1)/5 = (y-2)/2=(z-8)/11 are

Find the point of intersection of the lines (x-1)/2=(y-3)/3=(z-2)/2 and (x-4)/(-1)=(y-2)/4=(z-8)/(-4) .

If 3 (5x-7) -4 (8x-13) =2 (9x-11)-17 , then the value of (7x-5)/(11x-9) is

Equation of the plane containing the line L_(1) : (x-1)/3 = (y+6)/4 = (z+1)/2 , parallel to the line L_(2) : (x-2)/2 = (y-1)/(-3)= (z+4)/5 , is 26 x - 11y - 17 z = p where : p =

NIKITA PUBLICATION-LINE-MULTIPLE CHOICE QUESTIONS
  1. Show that the lines ( x+1)/(-10) = ( y + 3)/(-1) = ( z - 4) / (1) "an...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. The acute angle between the lines (x+4)/-1 = (y-2)/2 = (z-3)/2 and x/2...

    Text Solution

    |

  20. The angle between the lines (x+1)/2 = (y+3)/2 = (z-4)/-1 and (x-4)/1 =...

    Text Solution

    |