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

Find the equation of the plane passing through the intersection of the planes `4x-y+z=0` and `x+y-z=0` and parallel to the line which direction ratios 2,1,1. Find also the perpendicular distance of (1,1,1) from this plane.

Promotional Banner

Topper's Solved these Questions

  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28I|9 Videos
  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28J|26 Videos
  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28F|18 Videos
  • SYSTEM OF LINEAR EQUATIONS

    RS AGGARWAL|Exercise Objective Questions|53 Videos
  • VECTOR AND THEIR PROPERTIES

    RS AGGARWAL|Exercise Exercise 22|24 Videos

Similar Questions

Explore conceptually related problems

Find the vector equation of the plane passing through the intersection of the planes x-2y+z=1 and 2x+y+z=8 and parallel to the line with direction ratios proportional to 1,2,1. Find also the perpendicular distance of (1,1,1) from this plane.

Find the equation of the plane passing through the intersection of the planes 4x-y+z=0\ a n d\ x+y-z=4 and parallel to the line with direction ratios proportional to 2, 1, 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 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 of intersection of the planes 4x-5y-4z=1 and 2x=y+2z=8 and the point (2,1,3).

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 equations of the line passing through the point (3,0,1) parallel to the planes x+2y=0 and 3y-z=0 .

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

RS AGGARWAL-THE PLANE-Exercise 28G
  1. Find the angle between the line vecr = (hati +2hatj -hatk ) +lambda (h...

    Text Solution

    |

  2. Find the angle between the line vecr=(2hati-hatj+3hatk)+lambda(3hati-h...

    Text Solution

    |

  3. Find the angle between the line vecr.(3hati+hatk)+lambda(hatj+hatk) an...

    Text Solution

    |

  4. Find the angle between the line (x-2)/3=(y+1)/-1=(z-3)/2 and the plane...

    Text Solution

    |

  5. Find the angle between the line (x+1)/2=y/3=(z-3)/6and the plane 10 ...

    Text Solution

    |

  6. Find the anlge between the line joining the points A(3,-4,-2) and B(12...

    Text Solution

    |

  7. If the plane 2x-3y-6z=13 makes an angle sin^(-1) with the x-axis, then...

    Text Solution

    |

  8. Show that the lne vecr=(2hati+5hatj+7hatk)+lambda(hati+3hatj+4hatk) is...

    Text Solution

    |

  9. Find the value of m for which the line vecr.=(hati+2hatk)+lambda(2hati...

    Text Solution

    |

  10. Find the vector equation of a lie passing through the origin perpendic...

    Text Solution

    |

  11. Find the vector equation of the line passing through the point with po...

    Text Solution

    |

  12. Show that the equation ax+by+d=0 represents a plane parallel to the z-...

    Text Solution

    |

  13. Find the equation of the plane passing through the points (1,2,3) and ...

    Text Solution

    |

  14. Find the equation of a plane passing through the point (2,-1,5), perpe...

    Text Solution

    |

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

    Text Solution

    |

  16. Find the vector and Cartesian equations of the plane passing through t...

    Text Solution

    |

  17. Find the vector and Cartesian quations of the plane passing through th...

    Text Solution

    |

  18. Find the vector equation of a plane passing through the point (1,2,3) ...

    Text Solution

    |

  19. Find the Cartesian and vector eqauations of a plane passing through th...

    Text Solution

    |

  20. Find the vector equation of the plane passing through the point (3hati...

    Text Solution

    |