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

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 : (1) `2x""+""6y""+""12 z""=""13` (2) `x""+""3y""+""6z""=-7` (3) `x""+""3y""+""6z""=""7` (4) `2x""+""6y""+""12 z""=-13`

A

`2x+6y+12z=13`

B

`x+3y+6z=-7`

C

`x+3y+6z=7`

D

`2x+6y+12z=-13`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|20 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

The equation of the plane passing through the intersection of the planes 2x-5y+z=3 and x+y+4z=5 and parallel to the plane x+3y+6z=1 is x+3y+6z=k , where k is

The equation of plane through the line of intersection of the planes 2x+3y+4z-7=0,x+y+z-1=0 and perpendicular to the plane x+y+z-1=0

The equation of the plane passing through the line of intersection of the planes x+y+z=6 and 2x+3y+4z+5=0 and perpendicular to the plane 4x+5y-3z=8 is

The equation of the plane passing through the line of intersection of the planes x+y+z=1,2x+3y+4z=7 , and perpendicular to the plane x-5y+3z=5 is given by

Find the equation of the plane passing through the intersection of the planes 2x-3y+z-4=0 and x-y+z+1=0 and perpendicular to the plane x+2y-3z+6=0

MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. If the angle between the lines 2(x+1)=y=z+4 and the plane 2x-y+sqrt(la...

    Text Solution

    |

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

    Text Solution

    |

  3. The equation of the plane containing the line 2x-5y""+""z""=""3;""x...

    Text Solution

    |

  4. Find the shortest distance between the z-axis and the line, x+y+2z-...

    Text Solution

    |

  5. A plane containing the point (3, 2, 0) and the line (x-1)/(1)=(y-2)/(5...

    Text Solution

    |

  6. Ifthe points (1,1, lambda) and (-3,0,1) are equidistant from the plan...

    Text Solution

    |

  7. If the shortest distance between the lines (x-1)/alpha= (y+1)/-1 =z/1 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. The shortest distance between the lines lines x/2 = y/2 = z/1 and (x+2...

    Text Solution

    |

  11. The distance of the point (1,-2,4) from the plane passing through the ...

    Text Solution

    |

  12. A B C is a triangle and A=(235)dotB=(-1,3,2)a n dC=(lambda,5,mu)dot If...

    Text Solution

    |

  13. The number of distinct real values of lamda for which (x-1)/1=(y-2)/2=...

    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 the lies (x-3)/1=(y+2)/-1=(z+lambda)/(-2) lies on the line, 2x - 4...

    Text Solution

    |

  17. The coordinates of the foot of the perpendicular from the point (1, -2...

    Text Solution

    |

  18. Line of intersection of the two planes barr.(3i - j + k)=1 and barr.(i...

    Text Solution

    |

  19. If a variable plane, at a distance of 3 units from the origin, interse...

    Text Solution

    |

  20. The length of the projection of the line segment joining the points (5...

    Text Solution

    |