Home
Class 12
MATHS
Find the equation of the plane through t...

Find the equation of the plane through the line of intersection of the planes `x+y+z=1 and 2x+3y+4z=5` which is perpendicular to the plane `x-y+z=0`.

A

x-2y-5z = 0

B

x-y -z = 0

C

2x-y +2z = 0

D

6x-7y-10z = 0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos
  • VECTORS AND THEIR APPLICATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|296 Videos

Similar Questions

Explore conceptually related problems

Find 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 the point (1,1,1).

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

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

Find the equation of the plane through the intersection of the planes 3x-y+2z-4=0, x+y+z-2=0 and the point (2,2,1)

Find the equation of the plane through the intersection of the planes 3x-y+2z-4=0 " and " z+y+z-2=0 and the point (2,2,1) .

The equation of the plane passing through the intersection of the planes x+2y+3z+4=0 and 4x+3y+2z+1=0 and the origin is

The equation of a plane passing through the line of intersection of the planes: x + 2y + 3z = 2 and x- y + z = 3 at a distance 2/sqrt3 from the point (3,1,-1) is :

Equation of the plane through P(1,2,3) and parallel to the plane x+2 y+5 z=0 is

HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. The equation of the line passing through the points (4,-5,-2) and (-1,...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. The equation of the plane passing through (1,-1,1) and through the lin...

    Text Solution

    |

  5. The equation of the plane through the points (1,-1,0), (0,-2,1) and (2...

    Text Solution

    |

  6. Equation of the line passing through (1, 1,1) and perpendicular to 2x ...

    Text Solution

    |

  7. Equation of the plane through P(2,2,-3) and perpendicular to OP, where...

    Text Solution

    |

  8. Equation of the plane through the points (3,-1,2) and (2,1,3) and para...

    Text Solution

    |

  9. Equation of the plane passing through the points (3,-1,2) and (2,2,-1)...

    Text Solution

    |

  10. Write the direction cosines of x-axis.

    Text Solution

    |

  11. The equation of the line passing through the intersection of the lines...

    Text Solution

    |

  12. Find the equation of the line passing through (2, 3) & (4, -5)

    Text Solution

    |

  13. Equation of the plane passing through (2,3,4) and parallel to the plan...

    Text Solution

    |

  14. The angle between two lines (x+1)/2 =(y+3)/2 =(z-4)/(-1) and (x-4)/1 =...

    Text Solution

    |

  15. The ratio in which the plane 4x+5y-3z=8 divides the line joining the p...

    Text Solution

    |

  16. If the straight lines 2x+3y-3=0 and x+ky+7=0 are perpendicular, then t...

    Text Solution

    |

  17. The acute angle between the planes x+3y-z+2=0 and 2 x-3y+z-1=0 is

    Text Solution

    |

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

    Text Solution

    |

  19. Distance between the parallel planes 2x-3y+4 z-1=0 and 4x-6y+8z+8=0 i...

    Text Solution

    |

  20. The direction cosines of the normal to the plane 2x-2y+z-1 =0 are

    Text Solution

    |