Home
Class 12
MATHS
If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 ...

If the line, `(x-3)/2=(y+2)/(-1)=(z+4)/3` lies in the place, `l x+m y-z=9` , then `l^2+m^2` is equal to: (1) 26 (2) 18 (3) 5 (4) 2

A

18

B

5

C

2

D

26

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (1)|12 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise CHAPTER TEST 10|12 Videos

Similar Questions

Explore conceptually related problems

If the line,(x-3)/(2)=(y+2)/(-1)=(z+4)/(3) lies in the place,lx+my-z=9, then l^(2)+m^(2) is equal to: (1)26(2)18(3)5(4)2

If the line (x-1)/(2)=(y-3)/(a)=(z+1)/(3) lies in the plane bx+2y+3z-4=0 , then

If the line (x-4)/(1)=(y-2)/(1)=(z-m)/(2) lies in the plane 2x+ly+z=7 , then the value of m+2l is equal to

If the line (x-1)/(1)=(y-k)/(-2)=(z-3)/(lambda) lies in the plane 3x+4y-2z=6 , then 5|k|+3|lambda| is equal to

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

The angle between the line (x-2)/1=(y+3)/-2=(z+4)/-3 and the plane 2x-3y+z=5 is

If the line, (x-3)/(1) =(y+2)/(-1) = (z+ lamda)/(-2) lies in the plane, 2x -4y + 3z =2, then the shortest distance between this line and the line, (x-1)/(12) = y/9 =z/4 is :

Find the angle betweenthe line (x-2)/-1=(y+3)/2=(z+4)/3 and the plane 2x-3y+z=5 .

The image of the line (x-1)/(3)=(y-3)/(1)=(z-4)/(-5) in the plane 2x-y+z+3=0 is the line (1)(x+3)/(3)=(y-5)/(1)=(z-2)/(-5) (2) (x+3)/(-3)=(y-5)/(-1)=(z+2)/(5) (3) (x-3)/(3)=(y+5)/(1)=(z-2)/(-5) (3) (x-3)/(-3)=(y+5)/(-1)=(z-2)/(5)

MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY -COMPETITION FILE
  1. If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane ...

    Text Solution

    |

  2. The length of the perpendicular drawn from the point (3, -1, 11) to th...

    Text Solution

    |

  3. The distance of the point (1,-5,9) from the plane x-y+z = 5 measured a...

    Text Solution

    |

  4. If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/...

    Text Solution

    |

  5. An equation of a plane parallel to the plane x-2y +2 z-5=0 and at a un...

    Text Solution

    |

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

    Text Solution

    |

  7. Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

    Text Solution

    |

  8. The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+z+3...

    Text Solution

    |

  9. The angle between the lines whose direction cosines satisfy the equa...

    Text Solution

    |

  10. The disatance of the point (1, 0, 2) from the point of intersection of...

    Text Solution

    |

  11. The equation of the plane containing the line 2x -5y + z= 3, x + y + 4...

    Text Solution

    |

  12. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the place, l x+m y-z=9...

    Text Solution

    |

  13. The distance of the point (1,-5,9) from the plane x-y+z = 5 measured a...

    Text Solution

    |

  14. If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 mesure...

    Text Solution

    |

  15. The distance of the point (1, 3, -7) from the plane passing through th...

    Text Solution

    |

  16. If L1 is the line of intersection of the planes 2x-2y+3z-2=0, x-y+z+1=...

    Text Solution

    |

  17. The perpendicular distance from the origin to the plane containing the...

    Text Solution

    |

  18. A tetrahedron has vertices P(1,2,1),Q(2,1,3),R(-1,1,2) and O(0,0,0). T...

    Text Solution

    |

  19. A plane passes through the point (0,-1,0) and (0,0,1) and makes an ang...

    Text Solution

    |

  20. Consider a plane x+2y+3z=15 and a line (x-1)/(2)=(y+1)/(3)=(z-2)/(4) t...

    Text Solution

    |