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=10\ a n d\ x+y-z=4` and parallel to the line with direction ratios proportional to 2, 1, 1.

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 vector equation of the plane passing through the intersection of the planes x-2y+z=1a n d2x+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 through the intersection of the planes 3x-4y+5z=10a n d2x+2y-3z=4 and parallel to the line x=2y=3zdot

Find the equation of the plane through the intersection of the planes 3x-4y+5z=10a n d2x+2y-3z=4 and parallel to the line x=2y=3zdot

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).

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

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: x+y+z+1=0 and 2x-3y +5z-2=0 and the point (-1, 2,1)

Find the equation of plane through the line of intersection of the planes 3x – 4y + 5z = 10, 2x +2y-3z=4 and parallel to the line x=2y=3z

Find the equation of the plane passing through the intersection of the planes 2x-3y+z-4=0a n dx-y+z+1=0 and perpendicular to the plane x+2y-3z+6=0.

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

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Find the coordinates of the point, where the line (x-2)/3=(y+1)/4=(z-2...

    Text Solution

    |

  17. Find the vector and Cartesian forms of the equation of the plane pas...

    Text Solution

    |

  18. Find the equation of the plane passing through the point (3,4,1) an...

    Text Solution

    |

  19. Find the coordinates of the point, where the line (x-2)/3=(y+1)/4=(z-2...

    Text Solution

    |

  20. Find the vector equation of the line passing through (1, 2, 3) and p...

    Text Solution

    |