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

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

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

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

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

Similar Questions

Explore conceptually related problems

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 equation of line passing through the point (2, 2) and cutting off intercepts on the axes whose sum is 9.

A line with positive direction cosines passes through the pint P(2,-1,2) and makes the plane 2x+y+z=9 at point Q. The length of the line segment PQ equals:

A plane II passes through the point (1,1,1).If b,c,a are the direction ratios of a normal to the plane where a,b,c(altbltc) are the prime factors of 2001, then the equation of the plane II is

If the angle A ,Ba n dC of a triangle are in an arithmetic propression and if a , ba n dc denote the lengths of the sides opposite to A ,Ba n dC respectively, then the value of the expression a/csin2C+c/asin2A is (a) 1/2 (b) (sqrt(3))/2 (c) 1 (d) sqrt(3)

A variable plane is at a constant distance 4p from the origin and cuts axes in A, B, C respectively. Show that the centroid of the tetrahedron OABC lies on : 1/x^2+1/y^2+1/z^2=1/p^2

A force of 3 units acts through the point (4,-1,7) in the direction of the vector 9hati+6hatj-2hatk . Find the moment of the force about the point (1,-3,2) and the moment about the axes, parallel to the co-ordinate axes, which pass through (1,-3,2).

A parallelepiped is formed by planes drawn parallel to coordinate axes through the points A=(1,2,3) and B=(9,8,5). The volume of that parallelepiped is equal to (in cubic units)

The vertices of a triangle are A(10,4) ,B(-4,9) and C(-2,-1). Find the equation of the altitude through A.

If x^2+p x+1 is a factor of the expression a x^3+b x+c , then a^2-c^2=a b b. a^2+c^2=-a b c. a^2-c^2=-a b d. none of these

ARIHANT MATHS-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 ,and R are images of ...

    Text Solution

    |

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

    Text Solution

    |

  4. The equation of the line passing through (1, 1, 1) and perpendicular t...

    Text Solution

    |

  5. The equation of the plane through the intersection of the planes x+y+z...

    Text Solution

    |

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

    Text Solution

    |

  7. ABC is an isosceles triangle right angled at A. forces of magnitude 2s...

    Text Solution

    |

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

    Text Solution

    |

  9. Find the angle between the pair of lines r=3hat(i)+2hat(j)-4hat(k)+l...

    Text Solution

    |

  10. Find the shortest distance between the lines given by the equations ve...

    Text Solution

    |

  11. Find the angle between the line r=hat(i)+2hat(j)-hat(k)+lambda(hat(i)-...

    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. Find the equation of the plane with intercept 3 on the y-axis and para...

    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. What is 15% Equals to

    Text Solution

    |

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

    Text Solution

    |

  18. Find the value of x Equation is x+7=6

    Text Solution

    |

  19. Let a,b,c are three vectors of which every pair is non-collinear, if t...

    Text Solution

    |

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

    Text Solution

    |