Home
Class 12
MATHS
Reduce the equation of line x-y+2z=5a...

Reduce the equation of line `x-y+2z=5a d n3x+y+z=6` in symmetrical form. Or Find the line of intersection of planes `x-y+2z=5a n d3x+y+z=6.`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TANGENTS AND NORMALS

    RD SHARMA ENGLISH|Exercise All Questions|244 Videos
  • VECTOR OR CROSS PRODUCT

    RD SHARMA ENGLISH|Exercise All Questions|147 Videos

Similar Questions

Explore conceptually related problems

Find the equation of line of intersection of the planes 3x-y+ z=1 and x + 4 y -2 z =2.

Find the equation of line x+y-z-3=0=2x+3y+z+4 in symmetric form. Find the direction ratio of the line.

The direction cosines of the line x-y+2z=5, 3x+y+z=6 are

Let the equation of the plane containing the line x-y - z -4=0=x+y+ 2z-4 and is parallel to the line of intersection of the planes 2x + 3y +z=1 and x + 3y + 2z = 2 be x + Ay + Bz + C=0 Compute the value of |A+B+C| .

Let the equation of the plane containing line x-y-z-4=0=x+y+2z-4 and parallel to the line of intersection of the planes 2x+3y+z=1 and x+3y+2z=2 be x+Ay+Bz+C=0 . Then the values of |A+B+C-4| is …..

Find the angle between the normal to the planes 2x-y+z=6\ a n d\ x+y+2z=7.

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

The equation of the line of intersection of the planes x+2y+z=3 and 6x+8y+3z=13 can be written as

Find the equation of the plane which is perpendicular to the plane 5x+3y+6\ z+8=0 and which contains the line of intersection of the planes x+2y+3z-\ 4\ =\ 0\ a n d\ 2x+y\ -\ z+5\ =\ 0

Find the equation of the plane which is perpendicular to the plane 5x+3y+6\ z+8=0 and which contains the line of intersection of the planes x+2y+3z-\ 4\ =\ 0\ a n d\ 2x+y\ -\ z+5\ =\ 0

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Prove that the four points having position vectors are non-coplanar: ...

    Text Solution

    |

  2. Find the equation of the plane mid parallel to the planes 2x-2y+z+3=0\...

    Text Solution

    |

  3. Reduce the equation of line x-y+2z=5a d n3x+y+z=6 in symmetrical fo...

    Text Solution

    |

  4. Find dy/dx if x=ay+b

    Text Solution

    |

  5. If the line -> r=\ ( hat i-2 hat j+ hat k)+lambda(2 hat i+ hat j+2 ha...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Find the equation of the plane passing through the point A(1,\ 2,\ 1) ...

    Text Solution

    |

  10. Find an equation or the line that passes through the point P(2,\ 3,\ 1...

    Text Solution

    |

  11. Find the angle between the line -> r=(2 hat i+3 hat j+9 hat k)+lambda...

    Text Solution

    |

  12. Find the angle between the line (x-1)/1=(y-2)/(-1)=(z+1)/1 and the pla...

    Text Solution

    |

  13. Find the angle between the line joining the points (3,\ -4,\ -2)a n d\...

    Text Solution

    |

  14. The line vec r= hat i+lambda(2 hat i-m hat j-3 hat k) is parallel to ...

    Text Solution

    |

  15. Find the vector equation of the line through the origin which is per...

    Text Solution

    |

  16. Find the equation of the plane passes through the point (2,3,-4) and (...

    Text Solution

    |

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

    Text Solution

    |

  18. Find the vector and Cartesian equations of the line passing through (1...

    Text Solution

    |

  19. Prove that the line of section of the planes 5x+2y-4z+2=0\ a n d\ 2x+8...

    Text Solution

    |

  20. Find the equation of the plane passing through the points (2, 2, -1) a...

    Text Solution

    |