Home
Class 12
MATHS
Let a,bgt0 and alpha=(hati)/(a)+(4hatj)/...

Let `a,bgt0` and `alpha=(hati)/(a)+(4hatj)/(b)+bhatk` and `beta=bhati+ahatj+(hatk)/(b)`, then the maximum value of `(30)/(5+alpha*beta)` is

A

`3`

B

`2`

C

`4`

D

`8`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|36 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos
  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos
ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
  1. If veca, vecb and vecc are any three non-zero vectors, then the compon...

    Text Solution

    |

  2. The position vector of a point P is r=xhat(i)+yhat(j)+hat(k)z, where x...

    Text Solution

    |

  3. Let a,bgt0 and alpha=(hati)/(a)+(4hatj)/(b)+bhatk and beta=bhati+ahatj...

    Text Solution

    |

  4. If veca, vecb and vecc are any three vectors forming a linearly indepe...

    Text Solution

    |

  5. Two adjacent sides of a parallelogram A B C D are given by vec A B=...

    Text Solution

    |

  6. If in a triangleABC, BC=(e)/(|e|)-(f)/(|f|) and AC=(2e)/(|e|): |e|ne|f...

    Text Solution

    |

  7. Unit vectors veca and vecb ar perpendicular , and unit vector vecc is ...

    Text Solution

    |

  8. In triangle ABC the mid point of the sides AB, BC and AC respectively ...

    Text Solution

    |

  9. Find the angle between the two lines whose direction cosines are given...

    Text Solution

    |

  10. A line makes an angle theta both with x-axis and y-axis. A possible ra...

    Text Solution

    |

  11. Let veca, vecb and vecc be the three vectors having magnitudes, 1,5 an...

    Text Solution

    |

  12. Find the perpendicular distance of a corner of a cube of unit side len...

    Text Solution

    |

  13. If p,q are two non-collinear and non-zero vectors such that (b-c)ptim...

    Text Solution

    |

  14. Let a=hat(i)+hat(j)+hat(k), b=-hat(i)+hat(j)+hat(k), c=hat(i)-hat(j)+h...

    Text Solution

    |

  15. A parallelopiped is formed by planes drawn parallel to coordinate axes...

    Text Solution

    |

  16. Let a,b,c be three non-coplanar vectors and d be a non-zerro vector, w...

    Text Solution

    |

  17. If alpha(axxb)+beta(bxxc)+gamma(cxxa)=0, then

    Text Solution

    |

  18. Given four non zero vectors bar a,bar b,bar c and bar d. The vectors ...

    Text Solution

    |

  19. The shortest distance between a diagonal of a unit cube and the edge s...

    Text Solution

    |

  20. Let v=2hat(i)+hat(j)-hat(k) and w=hat(i)+3hat(k). If hat(u) is unit v...

    Text Solution

    |