Home
Class 12
MATHS
The equation of the plane containing the...

The equation of the plane containing the line:
2x - 5y + z = 3, x + y + 4z = 5 and parallel to the plane x + 3y +6z = 1, is :

A

2x + 6y + 12z= 13

B

x+ 3y + 6z =-7

C

x+ 3y + 6z = 7

D

2x + y - 12z =- 13.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|10 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|10 Videos

  • STATISTICS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|3 Videos

  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|12 Videos

Similar Questions

Explore conceptually related problems

The equatin of the plane containing the line 2x-5y+z=3,x+y+4z=5 and parallel to the plane x +3y+6z=1 is

The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4=0 and parallel to x -axis is

The line (x-2)/(3) = (y-3)/(4) = (z-4)/(5) is parallel to the plane

The angle between the lines 2x = 3y = - z and 6x =-y = 04z is

Equation of the plane containing the straight line x/2=y/3=z/4 and perpendicular to the plane containing the straight lines x/3=y/4=z/2 and x/4=y/2=z/3 is :

The angle between the planes: 3x - 4y + 5z = 0 and 2x-y-2z = 5 is:

The distance of the point (3,8,2) from the line (x-1)/2 = (y-3)/4 = (z-2)/3 measured parallel to the plane 3x+2y-2z +15 = 0 is

Equation of the plane perpendicular to the line (x )/(1) = (y )/(2) = ( z )/(3) and passing through the point (2,3,4) is :

MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY-AIEEE/JEE Examination
  1. A line AB in three-dimensional space makes angles 45^@ and 120^@ with ...

    Text Solution

    |

  2. Equation of the plane containing the straight line x/2=y/3=z/4 and per...

    Text Solution

    |

  3. If the distance of the point P (1,-2, 1) from the plane x + 2y - 2z = ...

    Text Solution

    |

  4. If the angle between the line x =(y-1)/2=(z-3)/lambda and the plane x+...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. If the lines : (x-1)/2 =(y+1)/3 =(z-1)/4 and (x-3)/1=(y-k)/2 =z/1 in...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. The point P is the intersection of the straight line joining the point...

    Text Solution

    |

  11. Lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-K) and (x-1)/(K)=(y-4)/(2)=(z-5)/(1)...

    Text Solution

    |

  12. Distance between two parallel planes: 2x + y + 2z = 8 and 4x + 2y + 4z...

    Text Solution

    |

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

    Text Solution

    |

  14. The angle between the lines whose direction cosines satisfy the equati...

    Text Solution

    |

  15. The distance of the point (1, 0, 2) from the point of intersection of ...

    Text Solution

    |

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

    Text Solution

    |