Home
Class 12
MATHS
If a ,b ,c in R^+, t h e n(b c)/(b+c)+(...

If `a ,b ,c in R^+, t h e n(b c)/(b+c)+(a c)/(a+c)+(a b)/(a+b)` is always `lt=1/2(a+b+c)` `geq1/3sqrt(a b c)` `lt=1/3(a+b+c)` `geq1/2sqrt(a b c)`

A

`le(1)/(2)(a+b+c)`

B

`ge (1)/(2) sqrt(abc)`

C

`le(1)/(3) (a+b+c)`

D

`ge(1)/(3)sqrt(abc)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TIPS

    FIITJEE|Exercise OBJECTIVE|84 Videos

  • TIPS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos

  • TIPS

    FIITJEE|Exercise NUERICAL DECIMAL BASED QUATIONS|20 Videos

  • TEST PAPERS

    FIITJEE|Exercise MATHEMATICS|328 Videos

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

If a,b,c in R^(+), then (bc)/(b+c)+(ac)/(a+c)+(ab)/(a+b) is always (a) (a) =(1)/(3)sqrt(abc)(c) =(1)/(2)sqrt(abc)

If a ,b ,c in R^+t h e n(a+b+c)(1/a+1/b+1/c) is always (a)geq12 (b)geq9 (c)lt=12 (d)none of these

If a,b,c are in H .P.then (1)/(a)+(1)/(b+c),(1)/(b)+(1)/(a+c),(1)/(c)+(1)/(a+b) are in

If a : b=3:4, b : c4:7, t h e n(a+b+c)/c is equal to 1 b. 2 c. 3 d. 7

If a,b,c are positive real numbers,then sqrt(a^(-1)b)x sqrt(b^(-1)c)x sqrt(c^(-1)a) is equal to: 1 (b) abc(c)sqrt(abc)(d)(1)/(abc)

If a b+b c+c a=0 , then what is the value of (1/(a^2-b c)+1/(b^2-c a)+1/(c^2-a b)) ? (a) 0 (b) 1 (c) 3 (d) a+b+c

If a+b=2c, then the value of (a)/(a-c)+(b)/(b-c) is (1)/(2)(b)1(c)2(d)3

FIITJEE-TIPS-ASSIGNMENT (SECTION (I): MCQ (SINGLE CORRECT)
  1. Value of 1+1/(1+2)+1/(1+2+3)+....+1/(1+2+3+....+n) is equal to

    Text Solution

    |

  2. Sides of triangle ABC, a, b, c are in G.P. If 'r' be the common ratio ...

    Text Solution

    |

  3. If a ,b ,c in R^+, t h e n(b c)/(b+c)+(a c)/(a+c)+(a b)/(a+b) is alwa...

    Text Solution

    |

  4. If x ,y ,z are real and 4x^2+9y^2+16 z^2-6x y-12 y z-8z x=0,t h e nx ,...

    Text Solution

    |

  5. Q. if x1,x2......xn are in H.P., then sum(r=1)^n xr x(r+1) is equal to...

    Text Solution

    |

  6. Given(1+x^2)^2 (1+x)^n = sum ar x^r. If a0,a1 and a2 are in A.P. then ...

    Text Solution

    |

  7. If a, b, c are distinct real numbers such that a, b, c are in A.P. and...

    Text Solution

    |

  8. Value of (1^2)/1+(1^2+2^2)/(1+2)+(1^2+2^2+3^2)/(1+2+3)+.... 'n' terms...

    Text Solution

    |

  9. If f(x)=x^9-6x-2x^7+12 x^6+x^4-7x^3+6x^2+x-3, find f(6)dot

    Text Solution

    |

  10. Let f(x)=(1)/(1+x) and let g(x,n)=f(f(f(….(x)))), then lim(nrarroo)g(x...

    Text Solution

    |

  11. lim(xrarr0^(+)){ln((x^(7)+2x^(6)e+x^(5)e^(2)))-ln(x^(2)sin^(3)x)} is e...

    Text Solution

    |

  12. A continuous, even periodic function f with period 8 is such that f(0)...

    Text Solution

    |

  13. The value of int(0)^(1)(Pi(i=1)^(n)(x+i))(Sigma(j=1)^(n)(1)/(x+j))dx i...

    Text Solution

    |

  14. If f is a continuous and differentiable funciton in x in (0, 1) such t...

    Text Solution

    |

  15. int(0)^(1)[(x)/(sinx)]dx equals to, ([.] denotes greatest integers fun...

    Text Solution

    |

  16. If area bounded by the curve x^(2)y+y^(2)x=alpha y is 2 units, then po...

    Text Solution

    |

  17. Let f(x)={{:(2^([x]),, x lt0),(2^([-x]),,x ge0):}, then the area bound...

    Text Solution

    |

  18. The degree and order of differntial equation of family of circle touch...

    Text Solution

    |

  19. If k sin^(2)x+(1)/(k) cosec^(2) x=2, x in (0,(pi)/(2)), then cos^(2...

    Text Solution

    |

  20. Domain of the function f(x)=(1)/([sinx-1]) (where [.] denotes the grea...

    Text Solution

    |