Home
Class 12
MATHS
A plane passing through (1,1,1) cuts pos...

A plane passing through `(1,1,1)` cuts positive direction of coordinates axes at `A ,Ba n dC ,` then the volume of tetrahedron `O A B C` satisfies a. `Vlt=9/2` b. `Vgeq9/2` c. `V=9/2` d. none of these

A

`Vle(9)/(2)`

B

`Vge(9)/(2)`

C

`V=(9)/(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
(b)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|28 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|7 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

A line is drawn passing through point P(1,2) to cut positive coordinate axes at A and B . Find minimum area of DeltaPAB .

If the plane x/2+y/3+z/4=1 cuts the coordinate axes in A, B,C, then the area of triangle ABC is

Find the equation of a plane passing through (1, 1, 1) and parallel to the lines L_1 and L_2 direction ratios (1, 0,-1) and (1,-1, 0) respectively. Find the volume of the tetrahedron formed by origin and the points where this plane intersects the coordinate axes.

Find the equation of a plane passing through (1, 1, 1) and parallel to the lines L_1 and L_2 direction ratios (1, 0,-1) and (1,-1, 0) respectively. Find the volume of the tetrahedron formed by origin and the points where this plane intersects the coordinate axes.

A plane is parallel to two lines whose direction ratios are (1,0,-1) and (-1,1,0) and it contains the point (1,1,1).If it cuts coordinate axes at A,B,C then find the volume of the tetrahedron OABC.

A plane meets the coordinate axes at A ,Ba n dC respectively such that the centroid of triangle A B C is (1,-2,3)dot Find the equation of the plane.

A plane passes through the point (1,1,1) and is parallel to the vectors vec b = (1, 0, - 1) and vec c =(-1,1,0) . If pi meets the axes in A, B, and C, find the volume of the tetrahedron OABC.

A plane meets the coordinate axes at A ,\ B ,\ C such that the centroid of "Delta A B C is the point (a ,\ b ,\ c) . If the equation of the plane is x/a+y/b+z/c=k ,\ t h e n\ k= 1 b. 2 c. 3 d. none of these

If a plane cuts off intercepts OA = a, OB = b, OC = c from the coordinate axes 9where 'O' is the origin). then the area of the triangle ABC is equal to

If a ,b , a n dc are in G.P. and x ,y , respectively, are the arithmetic means between a ,b ,a n db ,c , then the value of a/x+c/y is 1 b. 2 c. 1//2 d. none of these

ARIHANT MATHS ENGLISH-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. The number of planes that are equidistant from four non-coplanar point...

    Text Solution

    |

  2. In a three-dimensional coordinate system, P ,Q ,a n dR are images o...

    Text Solution

    |

  3. A plane passing through (1,1,1) cuts positive direction of coordinates...

    Text Solution

    |

  4. If lines x=y=zandx=(y)/(2)=(z)/(3) and third line passing through (1,1...

    Text Solution

    |

  5. Find the point of intersection of line passing through (0,0,1) and ...

    Text Solution

    |

  6. Two system of rectangular axes have the same origin. If a plane cuts t...

    Text Solution

    |

  7. The line (x+6)/5=(y+10)/3=(z+14)/8 is the hypotenuse of an isosceles ...

    Text Solution

    |

  8. Consider the following 3lines in space L1:r=3hat(i)-hat(j)+hat(k)+la...

    Text Solution

    |

  9. Let r=a+lambdal and r=b+mum br be two lines in space, where a= 5hat(i)...

    Text Solution

    |

  10. L1a n dL2 and two lines whose vector equations are L1: vec r=lambda((c...

    Text Solution

    |

  11. The vector equations of two lines L1 and L2 are respectively vec r=1...

    Text Solution

    |

  12. Consider three vectors p=i+j+k, q=2i+4j-k and r=i+j+3k. If p, q and r ...

    Text Solution

    |

  13. Intercept made by the circle zbarz+bara+a barz+r=0 on the real axis ...

    Text Solution

    |

  14. If the distance between the planes 8x+12y-14z=2 and 4x+6y-7z=2 can be ...

    Text Solution

    |

  15. A plane passes through thee points P(4, 0, 0) and Q(0, 0, 4) and is pa...

    Text Solution

    |

  16. If from the point P(f, g, h) perpendicular PL and PM be drawn to yz an...

    Text Solution

    |

  17. The plane XOZ divides the join of (1, -1, 5) and (2, 3, 4)in the ratio...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. Let A B C D be a tetrahedron such that the edges A B ,A Ca n dA D ar...

    Text Solution

    |

  20. Equations of the line which passe through the point with position vect...

    Text Solution

    |