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

Find the equation of the plane passing through the intersection of the planes `2x+3y-z+1=0a n dx+y-2z+3=0` and perpendicular to the plane `3x-y-2z-4=0.`

Text Solution

Verified by Experts

The correct Answer is:
(i) 7x + 13y + 4z - 9 = 0
(ii) `vec(r).(8 hati + 5 hatj - 10 hatk) + 10 = 0`
iii) 3x + 4y - 5z -9 = 0
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise EXERCISE 11 (E) (LONG ANSWER TYPE QUESTIONS (II) )|17 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise EXERCISE 11 (F) (LONG ANSWER TYPE QUESTIONS (I) )|21 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise EXERCISE 11 (E) (SHORT ANSWER TYPE QUESTIONS )|23 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (1)|12 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise CHAPTER TEST 10|12 Videos

Similar Questions

Explore conceptually related problems

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

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

Find the equation of the plane passing through the line intersection of the plane: 2x-y=0 and 3z-y=0 and perpendicular to the plane 4x+5y-3z=8

Find the equation of the plane passing through the line of intersection of the planes 2x-y=0 and 3z-y=0 , and perpendicular to the plane 4x+5y-3z=9 .

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

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

MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY -EXERCISE 11 (E) (LONG ANSWER TYPE QUESTIONS (I) )
  1. (A) Find the equation of the plane through the intersection of the pla...

    Text Solution

    |

  2. Find the vector equation of the following planes in cartesian form : ...

    Text Solution

    |

  3. Find the equations of the plane that passes through three points (1,1,...

    Text Solution

    |

  4. Find the equations of the faces of the tetrahedron whose vertices are ...

    Text Solution

    |

  5. (i) Find the distance of the point P (6,5,9) from the plane determined...

    Text Solution

    |

  6. (i) Find the equation of the plane through the points (2,-3,1) and (5,...

    Text Solution

    |

  7. Find the Cartesian equation of the plane passing through the points...

    Text Solution

    |

  8. (a) show that the following four points are coplanar : (i) (4,5,1), ...

    Text Solution

    |

  9. The foot of the perpendicular drawn from the origin to a plane is (2, ...

    Text Solution

    |

  10. (I) Find the foot and length of the perpendicular from the point (3,4,...

    Text Solution

    |

  11. find the coordinates of point where the line through (3,-4,-5) and (2,...

    Text Solution

    |

  12. If x co-ordinate of a point on the line joining points (2,2,1) and (5,...

    Text Solution

    |

  13. (i) Find the equation of the plane passing through the intersection of...

    Text Solution

    |

  14. (i) Find the vector equation of the plane through the intersection of ...

    Text Solution

    |

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

    Text Solution

    |

  16. Find the equation of a plane through the intersection of the planes : ...

    Text Solution

    |

  17. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  18. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  19. Find the equation of the plane passing through the intersection of ...

    Text Solution

    |

  20. (i) Find the equation of the plane passing through (1,-1,2) and perpen...

    Text Solution

    |