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 `OP^(2)=`

Text Solution

Verified by Experts

The correct Answer is:
`6.00`
Promotional Banner

Topper's Solved these Questions

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise EXERCISE (CONCEPT-BASED (SINGLE CORRECT ANSWER TYPE QUESTIONS ))|15 Videos
  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 1 (SINGLE CORRECT ANSWER TYPE QUESTIONS))|48 Videos
  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2( SINGLE CORRECT ANSWER TYPE QUESTIONS))|30 Videos
  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

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)=

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

MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)
  1. Suppose A(2,3,5),B(b,3,5) and C(7,5,c) are vertices of a triangle. If ...

    Text Solution

    |

  2. The plane 3x+4y+6z+7=0 is rotated about the line r=(i+2j-3k)+t(2i-3j...

    Text Solution

    |

  3. Let L be a line through B(3i+j-k) and parallel 21-j+2k. Suppose A is a...

    Text Solution

    |

  4. Suppose a=a(1)i+a(2)j+a(3)k is a vector which lies in the plane contai...

    Text Solution

    |

  5. Suppose position vectors of A, B, C are respectively i+2j+k,2i-j+2k an...

    Text Solution

    |

  6. Suppose H(3,2,-1) and C(3,2,5) are respectively the orthocentre and ci...

    Text Solution

    |

  7. The direction cosines of two lines satisfy 2l+2m-n=0 and lm+mn+nl=0. T...

    Text Solution

    |

  8. If equation of plane passing through (2,1,3),(3,2,1)and(1,3,2) is ax+b...

    Text Solution

    |

  9. The distance of the point (-1, -5, -10) from the point of intersection...

    Text Solution

    |

  10. If Q is foot of the perpendicular from the point P(4, - 5, 3) on the l...

    Text Solution

    |

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

    Text Solution

    |

  12. If the root of perpendicular from A(3,1,0) on a line passing through B...

    Text Solution

    |

  13. Find the angle between the lines x-3y-4=0,4y-z+5=0a n dx+3y-11=0,2y...

    Text Solution

    |

  14. P,Q,R,S are the points (1,2,-2), (8,10,11), (1,2,3) and (3,5,7) respec...

    Text Solution

    |

  15. The area of the triangle whose vertices are A(1,-1,2),B(2,1-1)C(3...

    Text Solution

    |

  16. A plane passing through a point (1, 2, 2) and is perpendicular to two ...

    Text Solution

    |

  17. A variable plane x/a+y/b+z/c=1 at a unit distance from origin cuts the...

    Text Solution

    |

  18. A variable plane is at a constant distance p from the origin and meets...

    Text Solution

    |

  19. Find the point where the line (x-1)/2=(y-2)/-3=(z+3)/4 meets the plane...

    Text Solution

    |

  20. Let s be the distance between the lines: r=2i-j+k+t(2i+j+2k) (1) a...

    Text Solution

    |