Home
Class 12
MATHS
A cube C={(x, y, z)|o le x, y, zle1} is ...

A cube `C={(x, y, z)|o le x, y, zle1}` is cut by a sharp knife along the plane `x=y, y=z, z=x`. If no piece is moved until all three cuts are made, the number of pieces is

A

`6`

B

`7`

C

`8`

D

`27`

Text Solution

Verified by Experts

The correct Answer is:
(a)
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 x=y^z,y=z^x,z=x^y then

Find the intercepts cut off by the plane 2x+y-z=5

If x , y , z are three sums of money such that y is the simple interest on x , z is the simple interest on y for the same time and at the same rate of interest, then we have x^2=y z (b) y^2=x z (c) z^2=x y (d) x y z=1

The number of solutions to x+y+z=10 , where 1le x, y, z le 6 and x, y, z in N , is equal to

Three positive distinct numbers x, y, z are three terms of geometric progression in an order and the numbers x + y, y + z, z + x are three terms of arithmetic progression in that order. Prove that x^x . y^y = x^y . Y^z . Z^x .

If A = {x, y, z}, then the relation R={(x,x),(y,y),(z,z),(z,x),(z,y)} , is

For all x, y and z in R , if x gt y and y gt z , then x gt z . This property is known as __________.

Three positive distinct numbers x,y,z are three terms of geometric progression in an order , and the number x+y,y+z,z+x are three terms of arithmetic progression in that order . Prove that x^(x).y^(y).z^(z)=x^(y).y^(z).z^(x)

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. Show that x(1) hati+y(1) hatj+ z1hatk, x2hati+y2hatj+z2hatk and x3hati...

    Text Solution

    |

  2. The position vectors of points of intersection of three planes rcdotn1...

    Text Solution

    |

  3. A pentagon is formed by cutting a triangular corner from a rectangular...

    Text Solution

    |

  4. In a dimensional coodinate a system P, Q and R are image of a point A(...

    Text Solution

    |

  5. A plane 2x+3y+5z=1 has a point P which is at minimum distance from lin...

    Text Solution

    |

  6. The locus of point which moves in such a way that its distance from th...

    Text Solution

    |

  7. A cube C={(x, y, z)|o le x, y, zle1} is cut by a sharp knife along the...

    Text Solution

    |

  8. A ray of light is sent through the point P(1, 2, 3,) and is reflected ...

    Text Solution

    |

  9. A plane cutting the axes in P, Q, R passes through (alpha-beta, beta-g...

    Text Solution

    |

  10. The shortest distance between any two opposite edges of the tetrahedro...

    Text Solution

    |

  11. The angle between the pair of planes represented by equation 2x^2-2y^2...

    Text Solution

    |

  12. Let (p, q, r) be a point on the plane 2x+2y+z=6, then the least value ...

    Text Solution

    |

  13. The fout lines drawing from the vertices of any tetrahedron to the cen...

    Text Solution

    |

  14. The shorteast distance from (1, 1, 1) to the line of intersection of t...

    Text Solution

    |

  15. The shortest distance between the two lines L1:x=k1, y=k2 and L2: x=k3...

    Text Solution

    |

  16. A=[{:(l(1),m(1),n(1)),(l(2),m(2),n(2)),(l(3),m(3),n(3)):}] and B=[{:(p...

    Text Solution

    |

  17. If ABCD is a tetrahedron such that each triangleABC, triangleABD and t...

    Text Solution

    |

  18. In a regular tetrahedron, if the distance between the mid points of op...

    Text Solution

    |

  19. A variable plane makes intercepts on X, Y and Z-axes and it makes a t...

    Text Solution

    |

  20. If P, Q, R, S are four coplanar points on the sides AB, BC, CD, DA of ...

    Text Solution

    |