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

A plane meets the coordinate axes at A, B, C such that the centroid of the triangle ABC is at
G(a, b, c). The equation of the plane ABC is

A

`(x)/(a)+(y)/(b)+(z)/( c )=1`

B

`(x)/(a)+(y)/(b)+(z)/( c )=(1)/(3)`

C

`(x)/(a)+(y)/(b)+(z)/( c )=3`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSIGNMENT -OBJECTIVE|84 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSERTION - REASONING|8 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos
  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos
  • MATRICES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

If a plane meets the coordinate axes at A,B and C such that the centroid of the triangle is (1,2,4) then the equation of the plane is

A plane meets the coordinate axes in A,B,C such that the centroid of triangle ABC is the point (p,q,r) . If the equation of the plane is x/p+y/q+z/r=k then k=

A plane meets the co-ordinate axes in A,B,C, such that the centroid of triangleABC is (3,3,3). Then the equation of the plane is

If a plane meets the co-ordinate axes in A ,B , C such that the centroid of triangle ABC is (p ,q , r) then the equation of plane is

A plane meets the coordinate axes in A,B,C such that eh centroid of triangle ABC is the point (p,q,r). Show that the equation of the plane is (x)/(p)+(y)/(q)+(z)/(r)=3

FIITJEE-MATHEMATICS TIPS-ASSIGNMENT (SECTION (I) : MCQ (SINGLE CORRECT)
  1. If vec xa n d vec y are two non-collinear vectors and a, b, and c ...

    Text Solution

    |

  2. If a makes the same angle alpha, with the lines vec( r )=lambda(hati+h...

    Text Solution

    |

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

    Text Solution

    |

  4. The direction cosines of two lines are related by l + m + n = 0 and al...

    Text Solution

    |

  5. Projection of the line x+y+z-3=0=2x+3y+4z-6 on the plane z=0 is

    Text Solution

    |

  6. The distance of the point (1,-2,3) from the plane x-y+z=5 measured par...

    Text Solution

    |

  7. (l(1),m(1),n(1)),(l(2),m(2),n(2)),(l(3),m(3),n(3)) are the direction c...

    Text Solution

    |

  8. A plane a constant distance p from the origin meets the coordinate axe...

    Text Solution

    |

  9. The equations to the straight line through (a, b, c) parallel to the z...

    Text Solution

    |

  10. if the lines (x-1)/2=(y-1)/3=(z-1)/4 and (x-3)/2=(y-k)/1=z/1 intersect...

    Text Solution

    |

  11. The shortest distance between a diagonal of a cube, of edge-length one...

    Text Solution

    |

  12. The planes x=cy+bz,y=az+cx,z=bx+ay intersect in a line if (a+b+c)^(2) ...

    Text Solution

    |

  13. A square ABCD of diagonal length 2a, is folded along the diagonal AC s...

    Text Solution

    |

  14. "Let "plambda^(4) + qlambda^(3) +rlambda^(2) + slambda +t =|{:(lambda^...

    Text Solution

    |

  15. The solution set of the equation |{:(1,4,20),(1,-2,5),(1,2x,5x^(2)):}|...

    Text Solution

    |

  16. The system of equations lambdax+y+z=0,-x+lambday+z=0,-x-y+lambdaz=0 wi...

    Text Solution

    |

  17. If alpha, beta, gamma are the roots of x^(3) + ax^(2) + b = 0, then th...

    Text Solution

    |

  18. Number of solutions of Re(z^(2))=0 and |Z|=a sqrt(2), where z is a com...

    Text Solution

    |

  19. If (1+ i sqrt(3))^(1999)=a+ib, then

    Text Solution

    |

  20. If z is a complex number satisfying the equation z^6 +z^3 + 1 = 0. If ...

    Text Solution

    |