Home
Class 12
MATHS
Find the equation of the plane containin...

Find the equation of the plane containing the line of intersection of the plane `x+y+z-6=0\ a n d\ 2x+3y+4z=5=0` and passing through the point (1, 1,1).

A

`7x - 9y + 8z = 0`

B

`7x + y + 8z = 0`

C

`2x - 2y - 3z = 14`

D

`20x + 23y + 26z -69 = 0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - B|47 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - C|14 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|97 Videos
  • STRAIGHT LINES

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 Videos

Similar Questions

Explore conceptually related problems

Find the equation of a plane containing the line of intersection of the planes x+y+z-6=0a n d2x+3y+4z+5=0 passing through (1,1,1) .

Find the equation of a plane containing the line of intersection of the planes x+y+z-6=0a n d2x+3y+4z+5=0 passing through (1,1,1) .

Find the equation of a plane containing the line of intersection of the planes x+y+z-6=0a n d2x+3y+4z+5=0 passing through (1,1,1) .

Find the equation of a plane containing the line of intersection of the planes x+y+z-6=0a n d2x+3y+4z+5=0 passing through (1,1,1) .

Find the equation of the plane through the line of intersection of the planes x+2y+3z+4=0\ a n d\ x-y+z+3=0 and passing through the origin.

The equation of a plane containing the line of intersection of the planes 2x-y-4=0 and y+2z-4=0 and passing through the point (1, 1, 0) is

Find the vector equation (in scalar product form) of the plane containing the line of intersection of the planes x-3y+2z-5=0\ a n d\ 2x-y+3z-1=0\ a n d passing through (1,\ -2,\ 3)dot

Find the equation of a plane passing through the intersection of the planes x-3y+2z-5 - 0 and 2x-y+3z-1 = 0 and passes through the point (1,-2,3) .

Find the equation of the plane passing through the intersection of the planes: x+y+z+1=0 and 2x-3y +5z-2=0 and the point (-1, 2,1)

Find the equation of the plane passing through the line of intersection of the planes 4x-5y-4z=1 and 2x+y+2z=8 and the point (2,1,3).

AAKASH INSTITUTE ENGLISH-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - A
  1. Find value of lambda if two lines having direction ratios 1, -2, 3 and...

    Text Solution

    |

  2. If plane passes through the point (1, 1,1) and is perpendicular to the...

    Text Solution

    |

  3. Find the equation of the plane containing the line of intersection of ...

    Text Solution

    |

  4. The plane passing through the point (-2, -2, -3) and containing the ...

    Text Solution

    |

  5. Equation of plane parallel to 3x + 4y + 5z - 6 = 0, 6x + 8y + 10z - 16...

    Text Solution

    |

  6. If the plane 3x - 4y + 5z = 0 is parallel to (2x-1)/4=(1-y)/(3)=(z-2)...

    Text Solution

    |

  7. Find the foot of perpendicular from (0, 2, 3) to the line (x-3)/2= (...

    Text Solution

    |

  8. The shortest distance between the lines (x-1)/2= (y-1)/3=(z+2)/6and ...

    Text Solution

    |

  9. Show that the angle between two diagonals of a cube is cos^(-1)sqrt(1/...

    Text Solution

    |

  10. The distance of a plane 3x + 4y - 5z = 60 from origin

    Text Solution

    |

  11. Find the equation of line passing through (2, -1, 3) and equally incli...

    Text Solution

    |

  12. The lines (x-1)/1=(y-2)/2=(z-3)/(3) and (x-1)/1=y/3 =z/4 are

    Text Solution

    |

  13. The equation of the plane through the line of intersection of the plan...

    Text Solution

    |

  14. Lines vecr = veca(1) + lambda vecb and vecr = veca(2) + svecb will lie...

    Text Solution

    |

  15. The equation of a plane through the point (2, 3, 1) and (4, -5, 3) a...

    Text Solution

    |

  16. If the line (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies exactly on the plane 2x...

    Text Solution

    |

  17. The angle between diagonal of a cube and diagonal of a face of the c...

    Text Solution

    |

  18. A point at a distance of sqrt(6) from the origin which lies on the s...

    Text Solution

    |

  19. The point where the line through A = (3, -2, 7) and B = (13, 3, -8) ...

    Text Solution

    |

  20. Find the equation of plane containing the line x+ y - z = 0 = 2x – y +...

    Text Solution

    |