Home
Class 12
MATHS
Find the equation of the plane which pas...

Find the equation of the plane which passes through the point `(3,4,-1)` and is parallel to the plane `2x-3y+5z+7=0.` Also, find the distance between the two planes.

Text Solution

Verified by Experts

Let the equation of a plane parallel to the given plane be
`2 x-3 y+5 z=k . .(1)`
This passes through `(3,4,-1)`. So,
`2(3)-3(4)+5(-1)=k `
`Rightarrow k=-11`
...
Promotional Banner

Topper's Solved these Questions

  • TANGENTS AND NORMALS

    RD SHARMA|Exercise Solved Examples And Exercises|244 Videos

  • TRIGONOMETRIC IDENTITIES

    RD SHARMA|Exercise EXAMPLE|1 Videos

Similar Questions

Explore conceptually related problems

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

Find the equation of the plane passes through the point (2,3,5) and parallel to the plane x-3y+z=8 .

Find the equation of the plane passing through the point (-1,0,7) and parallel to the plane 3x-5y+4z=11 .

Find the equation of the plane passing through the point (1,3,2) and parallel to the plane is 3x-2y+2z+33=0 .

Find the equation of the plane passing through the point (1,-2,7) and parallel to the plane 5x+4y-11z=6 .

Find the equation of the plane passing through the point (2,-3,5) and parallel to the points 3x-7y-2z=5 . Also, the find the distance between the two planes.

Find the equation of a plane passes through the point (1,-2,4) and parallel to the plane 3x- y+3+2z+5=0 .

The equation of the plane passing through the point A(2,3,4) and parallel to the plane 5x-6y+7z=3 , is

Find the equation of the plane through the point (1,4,-2) and parallel to the plane -2x+y-3z=7 .

RD SHARMA-THE PLANE -Solved Examples And Exercises
  1. Find the distance between the parallel planes 2x-y+2z+3=0a n d4x-2y+4z...

    Text Solution

    |

  2. Find the distance between the parallel planes vec rdot( hat i+2 hat j...

    Text Solution

    |

  3. Find the equation of the plane which passes through the point (3,4,-1)...

    Text Solution

    |

  4. Find the distance of the point (33,3) from the plane vec rdot(5 hat i...

    Text Solution

    |

  5. Find the equations of the planes parallel to the plane x+2y-2z+8=0 wh...

    Text Solution

    |

  6. Find the distance between the parallel planes x+y-z+4=0a n dx+y-z+5=0.

    Text Solution

    |

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

    Text Solution

    |

  8. If the line drawn from (4,-1,2) meets a plane at right angles at the p...

    Text Solution

    |

  9. If O is the origin and the coordinates of A are (a ,b , c) . Find the ...

    Text Solution

    |

  10. Find the vector equation of a lane passing through a point having p...

    Text Solution

    |

  11. The foot of perpendicular drawn from the origin to the plane is (4,-2,...

    Text Solution

    |

  12. If he line drawn from the point (-2,-1,-3) meets a plane at right angl...

    Text Solution

    |

  13. Find the equation of the plane which bisects the line segment joining ...

    Text Solution

    |

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

    Text Solution

    |

  15. Let vec n be a vector of magnitude 2sqrt(3) such that it makes equal ...

    Text Solution

    |

  16. A vector vec n of magnitude 8 units is inclined to x-axis at 45^0 ,...

    Text Solution

    |

  17. A plane passes through the point (1,-2,5) and is perpendicular to the ...

    Text Solution

    |

  18. Find the vector and Cartesian equations of the plane containing the tw...

    Text Solution

    |

  19. If the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y+4z-k a...

    Text Solution

    |

  20. Equation of plane which passes through the intersection point of the l...

    Text Solution

    |