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

  • PLANE

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos

  • PLANE

    TARGET PUBLICATION|Exercise CRITICAL THINKING|58 Videos

  • PAIR OF STRAIGHT LINES

    TARGET PUBLICATION|Exercise EVALUATION TEST|11 Videos

  • PROBABILITY DISTRIBUTION

    TARGET PUBLICATION|Exercise Evaluation test|5 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)

TARGET PUBLICATION-PLANE-COMPETATIVE THINKING
  1. The condition that the line (x-x1)/l=(y-y1)/m=(z-z1)/n lies in the pla...

    Text Solution

    |

  2. Value of k such that the line (x-4)/1 = (y-2)/1 =(z-k)/2 lies in th...

    Text Solution

    |

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

    Text Solution

    |

  4. The condition that the line (x-x1)/l=(y-y1)/m=(z-z1)/n lies in the pla...

    Text Solution

    |

  5. If P (3,2,6) is a point in space and Q be a point on the line vecr = (...

    Text Solution

    |

  6. The equation of plane containing intersecting lines (x+3)/(3)=(y)/(1)=...

    Text Solution

    |

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

    Text Solution

    |

  8. If planes x-cy-bz=0,cx-y+az=0 and bx+ay-z=0 pass through a straight li...

    Text Solution

    |

  9. IF for a plane the intercepts on the coordinate axes are 8,4,4 then th...

    Text Solution

    |

  10. Two system of rectangular axes have the same origin. If a plane cuts t...

    Text Solution

    |

  11. The perpendicular distance of the point P(6,7,8) from xy-plane is a. 8...

    Text Solution

    |

  12. Length of the perpendicular form the point (-6,2,3) on the plane 3x-6y...

    Text Solution

    |

  13. If the distance of points 2hati+3hattj+lamdahatk from the plane r*(3ha...

    Text Solution

    |

  14. The distance between (2,1,0) and 2x+y+2z+5=0 is

    Text Solution

    |

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

    Text Solution

    |

  16. A plane is at a distance of 5 units form the origin and perpendicular ...

    Text Solution

    |

  17. If the length of perpendicular drawn from origin on a plane is 7 units...

    Text Solution

    |

  18. A plane passes through (1,-2,1) and is perpendicular to two planes 2x-...

    Text Solution

    |

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

    Text Solution

    |

  20. The equation of a plane passing through the line of intersection of th...

    Text Solution

    |