Home
Class 12
MATHS
A plane meets the coordinate axes at A,B...

A plane meets the coordinate axes at A,B,C so that the centroid of the triangle ABC is `(1,2,4)` Then the equation of the plane is :

A

x + 2y + 4z = 12

B

4x + 2y +z = 12

C

x + 2y + 4z = 3

D

4x + 2y + z = 3

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THE PLANE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET 1|4 Videos
  • THE PLANE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET 2|3 Videos
  • THE PLANE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET 4|4 Videos
  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4 )|4 Videos
  • THEORETICAL DISTRIBUTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1.2.3 OR 4 GIVEN (SET -4)|5 Videos

Similar Questions

Explore conceptually related problems

A plane meets the coordinate axes A, B, C so that the centroid of the triangle ABC is (1,2,4) . Then the equation of the plane is

A straight line meets the coordinates axes at A and B, so that the centroid of the triangle OAB is (1, 2). Then the equation of the line AB is

A line meets the coordinate axes at A and B such that the centroid of DeltaOAB is (1, 2) . The equation of the line AB is

If a plane meets the coordinate axes in A, B, C such that the centroid of the triangle ABC is the point (a,b,c) then show that the equation of the plane is (x)/(a)+(y)/(b)+(z)/(c)=3 .

A plane cuts the coordinate axes X,Y,Z at A,B,C respectively such that the centroid of the Delta ABC is (6,6,3). Then the equation of that plane is

IF the plane meets the co-ordinate axes in A,B,C such that the centroid of the triangle ABC is the point (p,q,r) then show that the equation of the plane is x/p+y/q+z/r=3 .

DIPTI PUBLICATION ( AP EAMET)-THE PLANE-EXCERISE 1
  1. The locus of a point P whose distance from the plane 6x – 2y + 3z + 4 ...

    Text Solution

    |

  2. If a plane meets the coordinate axes in A, B, C such that the centroid...

    Text Solution

    |

  3. A plane meets the coordinate axes at A,B,C so that the centroid of the...

    Text Solution

    |

  4. A variable plane is at a constant distance p from the origin and meets...

    Text Solution

    |

  5. A variable plane is at a constant distance p from the origin and meets...

    Text Solution

    |

  6. A variable plane is at a constant distance P from the origin and meets...

    Text Solution

    |

  7. Two systems of rectangular axes have the same origin. If a plane cuts ...

    Text Solution

    |

  8. The equation of the plane which is parallel to y-axis and making inter...

    Text Solution

    |

  9. The point on x-axis with is equidistant to (2,-1-4), (-4,3,0) is

    Text Solution

    |

  10. The plane passing through the points (1,1,1),(1,-1,1) and (-7,-3,-5) i...

    Text Solution

    |

  11. The plane determined by the points (-1,2,-2),(0,1,1)and(1,1,2) passes ...

    Text Solution

    |

  12. The equation of the plane through the line of intersection of the plan...

    Text Solution

    |

  13. The equation of the plane through the line of intersection of the plan...

    Text Solution

    |

  14. The equation of the plane through the line of intersection of the plan...

    Text Solution

    |

  15. The equation of the plane through the line of intersection of the plan...

    Text Solution

    |

  16. The equations to the plane through the line of intersection of 2x + y ...

    Text Solution

    |

  17. Equation of the bisector of the angle between the planes x+2y+2z-9=0,4...

    Text Solution

    |

  18. The equations of the bisectors of the angles between the planes 3x – 6...

    Text Solution

    |

  19. Find the equation of locus of point which lies on bisectors of angles ...

    Text Solution

    |

  20. The equations of bisectors of angles between yz-plane and xz-plane is

    Text Solution

    |