Home
Class 12
MATHS
Find the direction ratios of the normal ...

Find the direction ratios of the normal to the plane, which passes through the points (1, 0, 0) and (0, 1, 0) and makes angle `pi/4` with the plane `x + y=3`. Also find the equation of the plane.

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK (TYPE-III: (TRUE OR FALSE QUESTIONS))|17 Videos

  • SAMPLE QUESTIONS PAPER - III (UNSOLVED)

    ACCURATE PUBLICATION|Exercise SECTION - D|6 Videos

  • VECTOR ALGEBRA

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|102 Videos

Similar Questions

Explore conceptually related problems

The direction ratios of a line normal to the plane x+2y-3z+4=0 are

Find the direction ratios of this plane 2x-3y+4z+2=0

Find the equations of two planes through the point (4,2,1),(2,1,-1) and making angles pi/4 with the plane x-4y+z=9.

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

Find the equation of the plane passing through the points (1,1,0),(1,3,0),(2,5,1)

Find the equation of the plane passing through the points (0,-1,-1), (4,5, 1) and (3,9,4).

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

Find the equations of the plane that passes through three points : (1,1,0), (1,2,1), (-2,2,-1)

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.

Find the equation of the plane passing through the points (0,-1,1),(4,5,1) and (3,9,4)

ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 6 MARKS:
  1. Find the equation of the plane passing through (a, b, c) and parallel ...

    Text Solution

    |

  2. A plane meets the coordinates axes in A, B and C such that the centroi...

    Text Solution

    |

  3. Find the direction ratios of the normal to the plane, which passes thr...

    Text Solution

    |

  4. Find the vector equation of the plane passing through the intersection...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. Find the equation of the plane which contains the line of intersection...

    Text Solution

    |

  8. If from a point P(a,b,c) perpendicular PA and PB are drawn to yz and z...

    Text Solution

    |

  9. Find the equation of the plane passing through the points (3, 4, 1), (...

    Text Solution

    |

  10. Find the equations of the perpendicular from the point (3, -1, 11) to...

    Text Solution

    |

  11. Find image of point (1, 3, 4) in the plane 2x-y+z+3=0.

    Text Solution

    |

  12. Find the distance between the point (7,2,4) and the plane determined b...

    Text Solution

    |

  13. Find the distance between the point P(6,5,9) and the plane determined ...

    Text Solution

    |

  14. Find the cartesian and vector equations of the planes passing through ...

    Text Solution

    |

  15. Find the co-ordinates of the points where the line through the points ...

    Text Solution

    |

  16. Find the coordinates of the point where the line through the points A ...

    Text Solution

    |

  17. Find the distance of the point (3,4,5) from the plane x+y+z=2 measured...

    Text Solution

    |

  18. Find the distance of the point (1,-2,3) from the plane x-y+z=5 measure...

    Text Solution

    |

  19. Show that the lines: vecr=(hati+hatj-hatk)+lambda(3hati-hatj) and vecr...

    Text Solution

    |

  20. Find cartesian equations of the plane containing the lines: vecr=2hat...

    Text Solution

    |