Home
Class 11
MATHS
If a,b,c in N the number of points havin...

If `a,b,c in N` the number of points having position vector `ahati+bhatj+chatk` such that `6lea+b+cle10`

A

110

B

116

C

120

D

127

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PARABOLA, ELLIPSE AND HYPERBOLA

    PATHFINDER|Exercise QUESTION BANK|66 Videos

  • PERMUTATION AND COMBINATIONS

    PATHFINDER|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

If the points having position vectors hati + b hat j + c hat k , 7 hati + 2 hat j + 6 hat k and 5 hati + 2 hat j + 5 hat k are collinear, find the values of b and c.

Position vector of the point A - position vector of the point B is -

Let a, b, c be distinct non-negative numbers an the vectors ahati+ahatj+chatk, hati+hatk, chati+chatj+bhatk lie in a plane, then prove that the quadratic equation ax^(2)+ 2cx + b=0 has equal roots

If a,b,c,d are distinct positive numbers in AP, then

A pyramid with vertex at point P has a regular hexagonal base A B C D E F , Position vector of points A and B are hat i and hat i + 2 hat j The centre of base has the position vector hat i+ hat j+sqrt(3) hat kdot Altitude drawn from P on the base meets the diagonal A D at point Gdot find the all possible position vectors of Gdot It is given that the volume of the pyramid is 6sqrt(3) cubic units and A P is 5 units.

If a,b,c are odd positive integers then number of integral solutions of a+b+c=13 is

A ,B ,Ca n dD are four points such that vec A B=m(2 hat i-6 hat j+2 hat k), vec B C=( hat i-2 hat j)a n d vec C D=n(-6 hat i+15 hat j-3 hat k)dot If C D intersects A B at some point E , then a. mgeq1//2 b. ngeq1//3 c. m=n d. mltn

The position vectors of the points A and B are 2vec(a)+vec(b) " and " vec(a)-3vec(b) . If the point C divides the line-segment bar(AB) externally in the ratio 1:2, then find the position vector of the point C. Show also that A is the midpoint of the line-segment bar(CB) .

If vec a , vec b are two non-collinear vectors, prove that the points with position vectors vec a+ vec b , vec a- vec b and vec a+lambda vec b are collinear for all real values of lambdadot

The position vectors of the points A and B are 2 veca + vecb and veca - 3vecb . If the point C divides the line segment bar (AB) externally in the ratio 1:2 , then find the position vector of the point C. Show also that A is the midpoint of the line segment bar (CB) .

PATHFINDER-PERMUTATION AND COMBINATION-QUESTION BANK
  1. 4 points out of 8 points in a plane are collinear number of different ...

    Text Solution

    |

  2. A rectangle with sides 2m-1 and 2n-1 divided into squares of unit leng...

    Text Solution

    |

  3. If a,b,c in N the number of points having position vector ahati+bhatj+...

    Text Solution

    |

  4. A function is defined as f:{a1,a2,a3,a4,a5,a6}rarr{b1,b2,b3} then numb...

    Text Solution

    |

  5. Let A =(x1,x2,x3,x4,x5,x6}B={y1,y2,y3,y4,y5,y6} then the number of one...

    Text Solution

    |

  6. A function is defined as f:{a1,a2,a3,a4,a5,a6}rarr{b1,b2,b3} then numb...

    Text Solution

    |

  7. A person goes two for an examination in which there are four papers wi...

    Text Solution

    |

  8. At an election a voter may vote for any number of candidates not great...

    Text Solution

    |

  9. There are 4 balls of different colours and four boxes of colours same ...

    Text Solution

    |

  10. There are 12 balls numbered from 1 to 12 the number of ways in which t...

    Text Solution

    |

  11. If a,b,c are odd positive integers then number of integral solutions o...

    Text Solution

    |

  12. The number of ways to fill each of the four cells of the table with a ...

    Text Solution

    |

  13. A student is to answer 10 out of 13 questions in an examination such t...

    Text Solution

    |

  14. A class has n students we have to form a team of the students includin...

    Text Solution

    |

  15. If all permutation of the letters of the word AGAIN are arranged as in...

    Text Solution

    |

  16. If a,b,c,d are odd natural numbers such that a+b+c+d=20 then the numbe...

    Text Solution

    |

  17. The value of.^50c4+underset(r=1)overset6sum.^(56-r)c3 is

    Text Solution

    |

  18. On the occasion of deepawali festival each student of a class sends gr...

    Text Solution

    |

  19. The set S:={1,2,3…..12} is to be partitioned into three sets A,B,C of ...

    Text Solution

    |

  20. From 6 different novels and 3 different dictionaries 4 novels and 1 di...

    Text Solution

    |