Home
Class 12
MATHS
Find the equations of the bisectors o...

Find the equations of the bisectors of the angles between the planes `2x-y+2z+3=0a n d3x-2y+6z+8=0` and specify the plane which bisects the acute angle and the plane which bisects the obtuse angle.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE ENGLISH|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the bisector planes of the angles between the planes 2x-y+2z-19=0 and 4x-3y+12z+3=0 and specify the plane which bisects the acute angle and the planes which bisects the obtuse angle.

Find the equations of the plane bisecting the angles between the planes x+22y+2z-3=0, 3x+4y+12z=1=0 and specify the plane which bisects the acute angle between them.

Find the equation of the bisector of the obtuse angle between the lines 3x-4y+7=0 and 12 x+5y-2=0.

Find the equation of the bisector of the obtuse angle between the lines 3x-4y+7=0 and 12 x+5y-2=0.

Find the equations of the bisectors of the angles between the lines 12x+5y-4=0 and 3x+4y+7=0 . Distinguish the one which bisects the acute angle between the lines.

Find the equation of the planes bisecting the angles between planes 2x+y+2z=9 and 3x-4y+12z+13=0

Find the angle between the planes -x+y+2z=9 and x+2y+z=5

Find the cosine of the angle between the planes x+2y-2z+6=0and2x+2y+z+8=0

Find the angle between the planes x+y+2z=9a d n2x-y+z=15.

Find the angle between the plane: x-y+z=5\ a n d\ x+2y+z=9

CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Find the equation of the sphere passing through (0,0,0),(1,0,0),(0,1...

    Text Solution

    |

  2. Find the image of the line (x-1)/(9)=(y-2)/(-1)=(z+3)/(-3) in the plan...

    Text Solution

    |

  3. Find the equations of the bisectors of the angles between the plane...

    Text Solution

    |

  4. If the x-coordinate of a point P on the join of Q(2,2,1)a n dR(5,1,-...

    Text Solution

    |

  5. A sphere of constant radius k passes through the origin and meets the ...

    Text Solution

    |

  6. A variable plane passes through a fixed point (a ,b ,c) and cuts th...

    Text Solution

    |

  7. Show that the plane 2x-2y+z+12=0 touches the sphere x^2+y^2+z^2-2x-4y+...

    Text Solution

    |

  8. If O is the origin, OP = 3, with direction ratios -1, 2 and -2, then f...

    Text Solution

    |

  9. If P(x,y,z) is a point on the line segment joining Q(2,2,4) and R(3,5,...

    Text Solution

    |

  10. If vecr is a vector of magnitude 21 and has direction ratios 2, -3 an...

    Text Solution

    |

  11. Find the distance of the point P(a ,b ,c) from the x-axis.

    Text Solution

    |

  12. A line makes angles alpha,betaa n dgamma with the coordinate axes. If ...

    Text Solution

    |

  13. If a line makes angles alpha,betaa n dgamma with threew-dimensional ...

    Text Solution

    |

  14. Find the distance between the parallel planes x+2y-2z+1=0a n d2x+4y...

    Text Solution

    |

  15. A ray of light passing through the point A(1,2,3) , strikews the pl...

    Text Solution

    |

  16. The plane a x+b y=0 is rotated through an angle alpha about its line...

    Text Solution

    |

  17. Find the equation of a plane containing the line of intersection of...

    Text Solution

    |

  18. Find the locus of a point, the sum of squares of whose distance from t...

    Text Solution

    |

  19. Find the length and the foot of the perpendicular from the point (7...

    Text Solution

    |

  20. Find the angle between the lines vec r= dot( hat i+2 hat j- hat k)+la...

    Text Solution

    |