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

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

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    V PUBLICATION|Exercise QUESTION BANK|114 Videos
  • VECTOR ALGEBRA

    V PUBLICATION|Exercise QUESTION BANK|117 Videos

Similar Questions

Explore conceptually related problems

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

Find the equation of the plane passing through the intersection of the planes x+y+4z+5=0 and 2x-y+3z+6=0 and contains the point (1,0,0).

Equation of the plane passing through the intersecton of the planes x + y + z = 6 and 2x + 3y + 4z + 5 = 0 and the point (1,1,1) is

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 x-y+z=0

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

The equation of the plane through the line of intersection of the planes x-y+z+3=0 and x+y+2z+1=0 and parallel to x-axis is a) 2y-z=2 b) 2y+z=2 c) 4y+z=4 d) 4y-2z=3

Find the equation of the plane through the point (1,2,3) and perpendicular to the plane x-y+z=2 and 2x+y-3z=5

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

V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Find the intercepts cut off by the plane 2x + y - z = 5

    Text Solution

    |

  2. Find the equation of the plane with intercept 3 on the y-axils and ...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the vector equation of the plane passing through the intersection...

    Text Solution

    |

  5. Find the vector equation of the plane through the line of intersection...

    Text Solution

    |

  6. Find the angle between the planes whose vector equations are vecr.(2h...

    Text Solution

    |

  7. A line makes angles angle, beta, gamma and delta with the diagonals of...

    Text Solution

    |

  8. Find the equation of the plane that contains the point (1, -1, 2) and ...

    Text Solution

    |

  9. Find the distance between the point P(6, 5, 9)and the plane determine...

    Text Solution

    |

  10. Show that the lines (x-a+d)/(alpha-delta)=(y-a)/alpha=(z-a-d)/(alph...

    Text Solution

    |

  11. Find the coordinates of the point where the line through the points...

    Text Solution

    |

  12. Show that the line joining the origin to the point (2, 1, 1)is perpen...

    Text Solution

    |

  13. If l1,""""m1,""""n1 and l2,""""m2,""""n2 are the direction cosines ...

    Text Solution

    |

  14. Find the angle between the lines whose direction ratios are a, b, c a...

    Text Solution

    |

  15. Find the equation of a line parallel to x-axis and passing through the...

    Text Solution

    |

  16. If the coordinates of the points A ,\ B ,\ C ,\ D\ b e\ (1,\ 2,\ 3),\ ...

    Text Solution

    |

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

    Text Solution

    |

  18. Write the vector equation of the line passing through (1,2,3) and pe...

    Text Solution

    |

  19. Find the equation of the plane passing through (a ,b ,c) and parallel ...

    Text Solution

    |

  20. Find the shortest distance between the lines vecr = 6hati+2hatj+2hatk+...

    Text Solution

    |