Home
Class 12
MATHS
Equation of a plane which passes through...

Equation of a plane which passes through the point of intersection of lines `(x-1)/(3)=(y-2)/(1)=(z-3)/(2)` and `(x-3)/(1)=(y-1)/(2)=(z-2)/(3)` and at greatest distance from the origin is

A

7x+2y+4z=54

B

4x+3y+5z= 50

C

3x+4y+5z=49

D

x+y+ z=12

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES (3D)

    AAKASH SERIES|Exercise PRACTICE EXERCISE|28 Videos

  • STATISTICS

    AAKASH SERIES|Exercise EXERCISE-5.3|5 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise EXERCISE 2.2|22 Videos

Similar Questions

Explore conceptually related problems

The equation of a pane which passes through the point of intersection of lines and (x-1)/(3) = (y-2)/(1) = (z-3)/(2) and at greatest distance from point (0,0,0) is

The point of intersection of the lines (x-5)/(3) = (y-7)/(-1) = (z+2)/(1) and (x+3)/(-36) = (y-3)/(2) = (z-6)/(4) is

The plane which passes through the point (3,2,0) and the line (x-3)/(1) = (y-6)/(5) = (z-4)/(4) is

The point of intersection of the line ( x-1)/( 3) = (y+2)/( 4) = (z-3)/(-2) and plane 2x - y + 3z -1=0 is

Distance of the origin from the point of intersection of the line (x)/(2)=(y-2)/(3)=(z-3)/(4) and the plane 2x+y-z=2 is

If the straight lines (x-1)/(k)=(y-2)/(2)=(z-3)/(3) and (x-2)/(3)=(y-3)/(K)=(z-1)/(2) intersect at a point then the interger k is equal to

AAKASH SERIES-STRAIGHT LINES (3D)-PRACTICE EXERCISE
  1. Equation of a plane which passes through the point of intersection of ...

    Text Solution

    |

  2. The value of k for which the lines (x+1)/(-3)=(y+5)/(2k) =(z-4)/(2)...

    Text Solution

    |

  3. If the lines (x-1)/(2) =(y-2)/(a)=(z-3)/(4) and (x+1)/(b)=(y+2)/(1)=(...

    Text Solution

    |

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

    Text Solution

    |

  5. The angle between the lines 2x = 3y = -z and 6x = -y= -4z is

    Text Solution

    |

  6. Angle between the lines (x-2)/(3)=(y+1)/(-2) = z-2 and (x-1)/(2)=(y...

    Text Solution

    |

  7. The line x = 1, y = 2 is

    Text Solution

    |

  8. The distance between the line (x-2)/(1)=(y+2)/(-1)=(z-2)/(4) and the...

    Text Solution

    |

  9. The value of k such that (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies in the pla...

    Text Solution

    |

  10. If the line (x-3)/(-4)=(y-4)/(-7)=(z+3)/(13) lies in the plane 5x-y+z ...

    Text Solution

    |

  11. The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersect the curve x^(2)+y^(2...

    Text Solution

    |

  12. Equation of the line 2x + z - 4 = 0 = 2y + z in symmetric form is

    Text Solution

    |

  13. Equation of a line passing through (1,-2, 3) and parallel to the plane...

    Text Solution

    |

  14. The line (x-1)/(3)=(y-3)/(k)=(z+1)/(5) is perpendicular to the plane 6...

    Text Solution

    |

  15. The foot of the perpendicular from the point (1,2,3) to the line (x)/(...

    Text Solution

    |

  16. The image of the point (1, 2, 3) in the line (x)/(2)=(y-1)/(3)=(z-1)/(...

    Text Solution

    |

  17. The point of intersection of the lines (x-4)/(1)=(y+3)/(-4)=(z+1)/(4) ...

    Text Solution

    |

  18. The shortest distance· between the two· lines (x- 4) / 1 = (y+ 1) / 2 ...

    Text Solution

    |

  19. The equation of a line through (-2, 3, 4) and parallel to the planes 2...

    Text Solution

    |

  20. A plane which passes through the point (3,2,0) and the line (x-3)/(1)=...

    Text Solution

    |

  21. Distance of the origin from the point of intersection of the line (x)/...

    Text Solution

    |