Home
Class 11
MATHS
The number of points in space, whose eac...

The number of points in space, whose each co-ordinate is a negative integer such that `x +y+z+ 12= 0`

A

385

B

55

C

110

D

none of these

Text Solution

AI Generated Solution

To solve the problem of finding the number of points in space where each coordinate is a negative integer satisfying the equation \( x + y + z + 12 = 0 \), we can follow these steps: ### Step 1: Rewrite the equation Given the equation: \[ x + y + z + 12 = 0 \] we can rearrange it to: ...
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|9 Videos

  • PERMUTATIONS AND COMBINATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|136 Videos

  • PERMUTATIONS AND COMBINATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

  • PARABOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • PROBABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|45 Videos

Similar Questions

Explore conceptually related problems

The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices (0, 0) , (0, 41) and (41, 0) is

Number of points having positive intergal co - ordinate lying on the plane x+2y+3z = 15 is n, then n/2 is equal to

Number of integral points (integral points means both the co-ordinates should be integer) exactly in the interior of the triangle with vertices (0,0),(0, 15) and Or (15, 0) is

Number of integral points (integral points means both the co-ordinates should be integer) exactly in the interior of the triangle with vertices (0,0),(0, 21) and (21, 0) is

Number of points with integral co-ordinates that lie inside a triangle whose co-ordinates are (0, 0), (0, 21) and (21,0).

Number of points with integral co-ordinates that lie inside a triangle whose co-ordinates are (0, 0), (0, 21) and (21,0).

The number of integral points on the hyperbola x^2-y^2= (2000)^2 is (an integral point is a point both of whose co-ordinates are integer) (A) 98 (B) 96 (C) 48 (D) 24

The number of integral points on the hyperbola x^2-y^2= (2000)^2 is (an integral point is a point both of whose co-ordinates are integer) (A) 98 (B) 96 (C) 48 (D) 24

Find number of negative integral solution of equation x + y + z = - 12

The number 3,4,5 can be (A) direction cosines of a line in space (B) direction numbers of a line in space (C) coordinates of a point on the line y=4z=0 (D) coordinates of a point in the plane x+y-z=0

OBJECTIVE RD SHARMA ENGLISH-PERMUTATIONS AND COMBINATIONS-Section I - Solved Mcqs
  1. Between two junction stations A and B there are 12 intermediate statio...

    Text Solution

    |

  2. In how many ways can 30 marks be allotted to 8 question if each que...

    Text Solution

    |

  3. The number of points in space, whose each co-ordinate is a negative in...

    Text Solution

    |

  4. If x,y,z is integer and xge0,yge1,zge2,x+y+z=15 then the number of va...

    Text Solution

    |

  5. If a, b, c, are natural numbers in AP and then the possible number of...

    Text Solution

    |

  6. If x, y, z, t are odd natural numbers such that x + y + z +w=20 then ...

    Text Solution

    |

  7. The number of ways in which a score of 11 can be made from a through t...

    Text Solution

    |

  8. The sum of all the numbers of four different digits that can be mad...

    Text Solution

    |

  9. There are 5 mangoes, 3 oranges and 4 bananas. The number of ways of se...

    Text Solution

    |

  10. There are 4 mangoes, 3 apples, 2 oranges and 1 each of 3 other varieti...

    Text Solution

    |

  11. The number of divisor of 4200, is

    Text Solution

    |

  12. The number of proper divisors of 2520, is

    Text Solution

    |

  13. The number of porper divisors of 2^(m)xx6^(n)xx15^(p) , is

    Text Solution

    |

  14. The number of proper divisors of 1800, which are also divisible by 10,...

    Text Solution

    |

  15. The number of even proper divisors of 5040, is

    Text Solution

    |

  16. The number of odd proper divisors of 5040, is

    Text Solution

    |

  17. Find the number of odd proper divisors of 3^pxx6^mxx21^ndot

    Text Solution

    |

  18. The number of divisors of the form 4K + 2 , K ge 0 of the integers 24...

    Text Solution

    |

  19. The number of divisors of 2^4 .3^3 .5^2, having two prime factors, is

    Text Solution

    |

  20. There are five balls of different colours and five boxes of colours sa...

    Text Solution

    |