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

Find the equation of the plane through the points (2, 1,-1) and (-1, 3, 4) and perpendicular to the plane x - 2y + 4z = 10.

Text Solution

Verified by Experts

The correct Answer is:
`therefore -18x-17y-4z=49`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise MULTIPLE CHOICE QUESTIONS (MCQs)|173 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise TEXTBOOK IILUSTRATIONS FOR PARCTICE WORK|30 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the plane passing through the point (-1, 3, 2) and perpendicular to each of the planes x + 2y + 3z = 5 and 3x + 3y + z = 0.

Equation of plane passing through the points (2, 2, 1) (9, 3, 6) and perpendicular to the plane 2x+6y+6z-1=0 is

Find the equation of the plane through the points (2, 1, 0), (3, -2, -2) and (3, 1, 7).

Find the equation of the plane that contains the point (1,-1, 2) and is perpendicular to each of the planes 2x + 3y – 2z = 5 and x + 2y - 3z = 8.

The equation of the plane passing through the pionts (2,5,-3) and perpendicular to both the planes x + 2y + 2z = 1 and x -2y + 3z = 4 is ........

The equation of the passing through the point (2,-1,3) and perpendicular to the plane 2x-y + 2sqrt(5)z = 3 is .........

Find the equation of the plane passing through the point (-1,2, 1) and perpendicular to the line joining the points (-3, 1, 2) and (2, 3, 4). Find also the perpendicular distance of the origin from this plane.

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

The equation of the plane passing through the pionts (0,-4,-6) and (-2,9,3) and perpendicular to x-4y-2z = 8 is .....

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

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-SOLUTION OF NCERT EXAMPLAR PROBLEMS (Short Answer Type Question)
  1. Find the length and the foot of perpendicular from the point (1,3/2,2)...

    Text Solution

    |

  2. Find the equation of the line passing through the point (3, 0, 1) and ...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the shortest distance between the lines vecr =(8+3lambda) hati - ...

    Text Solution

    |

  5. Find the equation of the plane which is perpendicular to the plane 5x ...

    Text Solution

    |

  6. If the plane ax + by = 0 is rotated about its line of intersection wit...

    Text Solution

    |

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

    Text Solution

    |

  8. Show that the points bari-barj+3bark and 3(bari +barj+bark) are equidi...

    Text Solution

    |

  9. vec(AB)=3bari-barj+bark and vec(CD)= -3bari+2barj+4bark are two vector...

    Text Solution

    |

  10. Show that the straight lines whose direction cosines are given by 2l +...

    Text Solution

    |

  11. If (l1, m1, n1), (l2, m2, n2)" and "(l3, m3, n3) are the direction cos...

    Text Solution

    |

  12. Distance of the point (alpha,beta,gamma) from Y- axis is …........

    Text Solution

    |

  13. If the directions cosines of a line are k, k and k then ..........

    Text Solution

    |

  14. The distance of the plane barr.(2/7i+3/7j-6/7k)=1 from the origin is …...

    Text Solution

    |

  15. The sine of the angle between the straight line (x-2)/(3)=(y-3)/(4)=(z...

    Text Solution

    |

  16. The reflection of the point (alpha,beta,gamma) in the xy - plane is .....

    Text Solution

    |

  17. The area of the quadrilateral ABCD, where A(0, 4, 1), B(2, 3, -1), C(4...

    Text Solution

    |

  18. The locus represented by xy + yz = 0 is .........

    Text Solution

    |

  19. The plane 2x – 3y + 6z - 11 = 0 makes an angle sin^(-1)alpha with X- a...

    Text Solution

    |

  20. A plane passes through the points (2, 0, 0) (0,3,0) and (0, 0, 4). The...

    Text Solution

    |