Home
Class 11
MATHS
If a ,b ,c in R^+ , then the minimum v...

If `a ,b ,c in R^+` , then the minimum value of `a(b^2+c^2)+b(c^2+a^2)+c(a^2+b^2)` is equal to (a)`a b c` (b)`2a b c` (c)`3a b c` (d)`6a b c`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|9 Videos
  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

If a ,b ,c are the sides of a triangle, then the minimum value of a/(b+c-a)+b/(c+a-b)+c/(a+b-c) is equal to (a) 3 (b) 6 (c) 9 (d) 12

If a , ba n dc are the side of a triangle, then the minimum value of (2a)/(b+c-a)+(2b)/(c+a-b)+(2c)/(a+b-c)i s (a) 3 (b) 9 (c) 6 (d) 1

If a, b, c be in Arithmetic progression, then, then value of (a+2b-c)(2b+c-a)(a+2b+c) is

Prove that (b^2+c^2)/(b+c)+(c^2+a^2)/(c+a)+(a^2+b^2)/(a+b)> a+b+c

If in A B C ,A C is double of A B , then the value of cot(A/2)cot((B-C)/2) is equal to

If a, b, c and d are in G.P. show that (a^2+b^2+c^2)(b^2+c^2+d^2)=(a b+b c+c d)^2 .

If a ,b ,and c are in A.P., then a^3+c^3-8b^3 is equal to (a). 2a b c (b). 6a b c (c). 4a b c (d). none of these

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. If x ,y and z are positive real umbers and x=(12-yz)/(y+z) . The maxi...

    Text Solution

    |

  2. Let x^2-3x+p=0 has two positive roots aa n db , then minimum value if ...

    Text Solution

    |

  3. If a ,b ,c in R^+ , then the minimum value of a(b^2+c^2)+b(c^2+a^2)+...

    Text Solution

    |

  4. If a ,b ,c ,d in R^+and a ,b ,c,d are in H.P., then (a)a+d > b+c (...

    Text Solution

    |

  5. The minimum value of P=b c x+c a y+a b z , when x y z=a b c , is a. 3...

    Text Solution

    |

  6. If l ,m ,n are the three positive roots of the equation x^3-a x^2+b x-...

    Text Solution

    |

  7. If positive numbers a ,b ,c are in H.P., then equation x^2-k x+2b^(10...

    Text Solution

    |

  8. For x^2-(a+3)|x|+4=0 to have real solutions, the range of a is a. (-oo...

    Text Solution

    |

  9. If a ,b ,c are the sides of a triangle, then the minimum value of a/(...

    Text Solution

    |

  10. If a ,b ,c ,d in R^+-{1}, then the minimum value of (log)d a+(log)b ...

    Text Solution

    |

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

    Text Solution

    |

  12. If a ,b ,c in R^+t h e n(a+b+c)(1/a+1/b+1/c) is always (a)geq12 (b...

    Text Solution

    |

  13. The first term of an arithmetic progression is 1 and the sum of the fi...

    Text Solution

    |

  14. Let a, b , c be positive integers such that b/a is an integer. if a, b...

    Text Solution

    |

  15. Suppose that all the terms of an arithmetic progression (A.P.) are nat...

    Text Solution

    |

  16. If the sides of a right-angled triangle are in A.P., then the sines of...

    Text Solution

    |

  17. The sum of an infinite geometric series is 162 and the sum of its firs...

    Text Solution

    |

  18. If a ,b ,c are digits, then the rational number represented by 0 .c a ...

    Text Solution

    |

  19. If a = underset(55 "times")underbrace(111.....1), b= 1+10+10^(2)+10^(3...

    Text Solution

    |

  20. Consider the ten numbers a r ,a r^2, a r^3, ..... ,a r^(10)dot If the...

    Text Solution

    |