Home
Class 14
MATHS
If a,b,c are positive real numbers then ...

If a,b,c are positive real numbers then `(1+a)^7(1+b)^7)1+c)^7` (A) `lt7^7a^4b^4c^4` (B) `le7^7a^4b^4c^4` (C) `gt7^7a^4b^4c^4` (D) none of these

A

`pgt33^7a^3b^3c^3`

B

`pgt3^7a^(21)b^(14)c^7`

C

`pgt77(1+a)^7(1+b)^7(1+c)^7`

D

`pgt7^7a^4b^4c^4`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • RATIO, PROPORTION & VARIATION

    QUANTUM CAT|Exercise QUESTION BANK|238 Videos
  • SET THEORY

    QUANTUM CAT|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

If a,b,c, are positive real numbers,then prove that (2004,4M){(1+a)(1+b)(1+c)}^(7)>7^(7)a^(4)b^(4)c^(4)

The coefficient of x^3y^4z in the expansion of (1+x+y-z)^9 is (A) 2.^9C_7.^7C_4 (B) -2.^9C_2 . ^7C_4 (C) ^9C_7.^7C_4 (D) none of these

If a,B,C are positive acute angles and tan A=(4)/(7),tan B=(1)/(7),tan C=(1)/(8), prove that A+B+C=45

Let a,b and c be real numbers such that a7b+8c and 8a+4bc=7, then find a^(2)-b^(2)+c^(2)

the value of [3-4(3-4)^4 )]^3 is (a) 1 (b) -1 (c) 0 (d) 7

4 7/8 is equal tl 4.78 (b) 4.87 (c) 4.875 (d) None of these

The value of int_(a)^(b)(x-a)^(3)(b-x)^(4)dx is (A)((b-a)^(4))/(6^(4))(B)((b-a)^(8))/(280) (C) ((b-a)^(7))/(7^(3)) (D) none of these

(3.5xx1.4)/(0.7)=?( a) 0.7(b)2.4(c)3.5(d)7.1 (e) None of these

The rationalising factor of root(7)(a^(4)b^(3)c^(5)) is (a) root(7)(a^(3)b^(4)c^(2)) (b) root(7)(a^(3)b^(4)c^(2)) (c) root(7)(a^(2)b^(3)c^(3)) (d) root(7)(a^(2)b^(4)c^(3))

QUANTUM CAT-SEQUENCE, SERIES & PROGRESSIONS-QUESTION BANK
  1. kamal goes to a place at a speed of 10 km/hr and return home at speed ...

    Text Solution

    |

  2. The minimum value of the sum of real numbers a^(-5),a^(-4),3a^(-3),1,a...

    Text Solution

    |

  3. If a,b,c are positive real numbers then (1+a)^7(1+b)^7)1+c)^7 (A) lt7^...

    Text Solution

    |

  4. The least positive integer n for which ((1+i sqrt3)/(1-isqrt3))^(n)=1,...

    Text Solution

    |

  5. A bacteria gives birth to two new bacterias in each second and the lif...

    Text Solution

    |

  6. Find the sum of 6 terms of the series 2+6+18+…..

    Text Solution

    |

  7. If Um be defined as the sum of m terms of the series V, where V=Sm+S(m...

    Text Solution

    |

  8. Let a1 , a2 ,a3, …., an be an A.P. and S1 , S2 and S3 be the sum of fi...

    Text Solution

    |

  9. Consider the sets T(n)={n, n+3, n+5, n+7, n+9} where n=1,2,3,.....,9...

    Text Solution

    |

  10. If {x} is the least integer greater than or equal to x, then find the ...

    Text Solution

    |

  11. If [x] is the greatest integer less than or equal to x, then find the ...

    Text Solution

    |

  12. Shaan got a total of Rs. 912 in the denomination of equal numbers of R...

    Text Solution

    |

  13. King Dashratha of Ayodhya on his birthday decided to offer 100 coins o...

    Text Solution

    |

  14. King Dashratha of Ayodhya on his birthday decided to offer 100 coins o...

    Text Solution

    |

  15. Shaan got a total of Rs. 912 in the denomination of equal numbers of R...

    Text Solution

    |

  16. The number of ways in which 13 gold coins can be distributed among thr...

    Text Solution

    |

  17. Shaan got a total of Rs. 912 in the denomination of equal numbers of R...

    Text Solution

    |

  18. King Dashratha of Ayodhya on his birthday decided to offer 100 coins o...

    Text Solution

    |

  19. The sum of an infinite geometric progression (G.P.) is 2 and the sum o...

    Text Solution

    |

  20. The sum of first ten terms of an A.P. is 155 and the sum of first two ...

    Text Solution

    |