Home
Class 12
MATHS
Which of the following is correct?...

Which of the following is correct?

A

If a variable plane moves in such a way that the sum of the reciprocals of its intercepts on the co-ordinate axes is constant , then the plane passes through the fixed point .

B

If a varible plane moves in such a way that the sum of the reciprocals of its intercepts on the co-ordinate axes is constant ,then the plane passes through the origin.

C

If a varible plane moves in such a way that the difference of the reciprocals of its intercepts on the co-ordinate axes is constant then the plane passes through the fixed point.

D

If a varible plane moves in such a way that the differnce of the reciprocals of its intercepts on the co-ordinate axes is constant , then the plane passes through the origin.

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|276 Videos

  • PROBABILITY DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQs|127 Videos
NIKITA PUBLICATION-PLANE-MULTIOLE CHOICE QUESTIONS
  1. The distance of point (2,-1,0) from the plane 2x+y+2z+8=0 is

    Text Solution

    |

  2. Show that the points (-3,0,1) and (1,1,1) are equidistant from the pla...

    Text Solution

    |

  3. If d(1)andd(2) are the distances of points (2 ,3 ,4 ) and (1 , 1 ,4 ...

    Text Solution

    |

  4. Find the equations of the planes parallel to the plane x - 2y + 2z -4 ...

    Text Solution

    |

  5. Find the equations of the plane parallel to the plane x + 2y + 2z + 8 ...

    Text Solution

    |

  6. If the distance of the point (1,1,1) from the origin is half its dista...

    Text Solution

    |

  7. If the perpendicular distance of point A other than origin from the pl...

    Text Solution

    |

  8. The plane ax+by+cz=105 contain the lines 2x-y+z=3and3x+y+z=5 . If po...

    Text Solution

    |

  9. Which of the following is correct?

    Text Solution

    |

  10. The equation of a plane which cuts equal intercepts of unit length on ...

    Text Solution

    |

  11. If the plane x- 3y +5z= d passes through the point (1, 2, 4), then the...

    Text Solution

    |

  12. If a plane meets the co-ordinate axes in A ,B , C such that the centr...

    Text Solution

    |

  13. If a variable plane which is at a constant distance 3p from the origin...

    Text Solution

    |

  14. If plane meets co-ordinates axes at A , B ,C such that centroid of tri...

    Text Solution

    |

  15. IF for a plane the intercepts on the coordinate axes are 8,4,4 then th...

    Text Solution

    |

  16. The plane x / 2 + y / 3 + z / 4 = 1 cuts the co-ordinate axes in A, B,...

    Text Solution

    |

  17. The equation of the plane through (-1,1,2), whose normal makes equal a...

    Text Solution

    |

  18. If the distance of points 2hati+3hattj+lamdahatk from the plane r*(3ha...

    Text Solution

    |

  19. The distance of the point (1,3,-7) from the plane passing through the ...

    Text Solution

    |

  20. If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 measur...

    Text Solution

    |