Home
Class 12
MATHS
Equation of the plane passing through th...

Equation of the plane passing through the point (1,1,1) and perpendicular to each of the planes x+ 2y+3z-7=0 and 2x-3 y+4 z=0 is

A

17x-2y+7z =12

B

17x + 2y -7z =12

C

17x +2y+7z =12

D

17x - 2y -7z =12

Text Solution

Verified by Experts

The correct Answer is:
B
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

Equation of the line passing through (1, 1,1) and perpendicular to 2x + 3y + z = 5 is:

Equation of the plane passing through (1,1,1) and (1,-1,-1) and perpendicular to 2x-y+z+5=0 is

The plane passing through the point (a, b, c) and parallel to the plane x + y + z = 0 is:

Equation of the plane passing through the points (3,-1,2) and (2,2,-1) and parallel to the z -axis is

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

The equation of the plane passing through (1,-1,1) and through the line of intersection of the planes, x+2 y-3 z+1=0 and 3 x-2 y+4 z+3=0 is

Equatin of line passing through the point (2,3,1) and parallel to the line of intersection of the planes x−2y−z+6=0 and x+y+3z=5 is

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).

HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. The line of intersection of the planes vec r . (3i-j+k) =1 and vec r ....

    Text Solution

    |

  2. Given the line L=(x-1)/3 =(y+1)/2 =(z-3)/(-1) and the plane pi:x-2y-z=...

    Text Solution

    |

  3. The ratio in which the plane vec r . (i-2j+3k) =17 divides the line jo...

    Text Solution

    |

  4. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2 and (x-1)/(3k)=(y-1)/1=(z-6...

    Text Solution

    |

  5. Equation of the plane containing the line vec r = i+j + lambda (2i+j+4...

    Text Solution

    |

  6. The sine of the angle between the straight line (x-2)/3 = (y-3)/4 = (z...

    Text Solution

    |

  7. If the direction cosines of a line are 1/c, 1/c, 1/c then,

    Text Solution

    |

  8. The equation of the right bisector plane of the segment joining (2,3,...

    Text Solution

    |

  9. The angle between a line with direction ratio proportional to 2,2,1 an...

    Text Solution

    |

  10. Equation of the plane through P(1,2,3) and parallel to the plane x+2 y...

    Text Solution

    |

  11. Equation of the plane passing through the mid point of the line segmen...

    Text Solution

    |

  12. If M denotes the midpoint of the line segment joining A(4 i+5j-10k) an...

    Text Solution

    |

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

    Text Solution

    |

  14. A non-zero vector vec a is parallel to the line of intersection of the...

    Text Solution

    |

  15. The projection of the line joining the points (3,4,5) and (4,6,3) on t...

    Text Solution

    |

  16. The projection of a line segment on the coordinate axes are 2,3,6. The...

    Text Solution

    |

  17. The equation of the plane through the intersection of the planes x+y+z...

    Text Solution

    |

  18. The distance of the point (3,8,2) from the line (x-1)/2 = (y-3)/4 = (z...

    Text Solution

    |

  19. If the position vectors of the points A and B are 3i+j+2k and i-2 j-4k...

    Text Solution

    |

  20. Equation of the plane passing through the point (1,1,1) and perpendicu...

    Text Solution

    |