Home
Class 12
MATHS
If a+b+c=3 and agt0,bgt0,cgt0 then the g...

If `a+b+c=3` and `agt0,bgt0,cgt0` then the greatest value of `a^(2)b^(2)c^(2)` is

A

`(3^(10)2^(4))/(7^(7))`

B

`(3^(9)2^(4))/(7^(7))`

C

`(3^(8)2^(4))/(7^(7))`

D

`(3^(9)2^(3))/(7^(6))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 52

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 54

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If a+b+3c=1 and a gt 0, b gt 0, c gt 0 , then the greratest value of a^(2)b^(2)c^(2) is

If 2a+b+3c=1 and a gt 0, b gt 0, c gt 0 , then the greatest value of a^(4)b^(2)c^(2)"_____" .

If 2a+b+3c=1 and a>0,b>0,c>0 then the greatest value of a^(4)b^(2)c^(2) is (1)/(9.4^(8)) b.(1)/(9.4^(5)) c.(1)/(9^(4).4^(8)) d.(1)/(9^(4).4)

If a+b+c=3 and agt0, bgt0, cgt0 then the greatest value of a^2b^3c^2= (A) (3^2)(2^3)(7^2) (B) (3^10 2^4)/7^7 (C) (3^7 2^5)/7^2 (D) (3^7 2^4)/7^7

If a+b+c=3 and a>0,b>0,c>0 the greatest value of a^(2)b^(3)c^(2)

If 2a+3b+c=3; a >0,b >0,c >0, then the greatest value of a^2b^5c^2

If a+2b+3c=1 and a>0,b>0,c>0 and the greatest value of a^(3)b^(2)c is (1)/(k) then (k-5180) is

If 4a+3b+2c=5 and a>0,b>0,c>0 then the greatest value of a^2b^3c^4 will be ?

If a,bgt0 then the maximum value of (a^(3)b)/((a+b)^(4)), is

If ab=2a+3b, agt0, b gt0 , then the minimum value of ab is

NTA MOCK TESTS-NTA JEE MOCK TEST 53-MATHEMATICS
  1. A person predicts the outcome of 20 cricket matches of his home team. ...

    Text Solution

    |

  2. The quadratic equation whose roots are the arithmetic mean and the har...

    Text Solution

    |

  3. If a+b+c=3 and agt0,bgt0,cgt0 then the greatest value of a^(2)b^(2)c^(...

    Text Solution

    |

  4. The point at which the line segment joining A(1, 1) and B (5, 5) subte...

    Text Solution

    |

  5. The average weight of students in a class of 35 students is 40 kg. If ...

    Text Solution

    |

  6. Two straight roads OA and OB intersect at O. A tower is situated withi...

    Text Solution

    |

  7. The value of lim(xrarr-oo)(x^(2)tan((1)/(x)))/(sqrt(4x^(2)-x+1)) is eq...

    Text Solution

    |

  8. The range of the function f(x)=sin^(-1)[x^(2)-(1)/(3)]-cos^(-1)[x^(2)+...

    Text Solution

    |

  9. The point on the curve 6y=4x^(3)-3x^(2), the tangent at which makes an...

    Text Solution

    |

  10. Let int(dx)/(sqrt(x^(2)+1)-x)=f(x)+C such that f(0)=0 and C is the con...

    Text Solution

    |

  11. The solution of the differential equation x(dy)/(dx)=y ln ((y^(2))/(x^...

    Text Solution

    |

  12. Let P be the image of the point (3, 1, 7) with respect to the plane x-...

    Text Solution

    |

  13. A person goes to the office either by a car, or scooter, or bus, the p...

    Text Solution

    |

  14. The solution of the system of equations x+(cosalpha)y=1 and (cosalpha)...

    Text Solution

    |

  15. sum(r=0)^(n)((r+2)/(r+1))*""^(n)C(r) is equal to :

    Text Solution

    |

  16. If the complex numbers sinx+icos 2x and cosx-isin2x are conjugate of e...

    Text Solution

    |

  17. A variable line through the point ((6)/(5),(6)/(5)) cuts the coordinat...

    Text Solution

    |

  18. The value of tan63^(@)-cot63^(@) is equal to

    Text Solution

    |

  19. The locus of a point which moves such that the difference of its dista...

    Text Solution

    |

  20. If the lengths of the sides of a right- angled triangle ABC, right ang...

    Text Solution

    |