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`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|9 Videos

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If a+b+c=0 , then write the value of (a^2)/(b c)+(b^2)/(c a)+(c^2)/(a b)

If a+b+c=9 and a b+b c+c a=23 , find the value of a^2+b^2+c^2

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 progession, then the value of (a+2b-c) (2b+c-a) (a+2b+c), is

If a+b+c=0 and a^2+b^2+c^2=16 , find the value of a b+b c+c a

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

If the roots of the equation (a^2+b^2)x^2-2b(a+c)x+(b^2+c^2)=0 are equal, then (a) 2b=a+c (b) b^2=a c (c) b=(2a c)/(a+c) (d) b=a c

If a ,b ,a n dc are in H.P., then th value of ((a c+a b-b c)(a b+b c-a c))/((a b c)^2) is ((a+c)(3a-c))/(4a^2c^2) b. 2/(b c)-1/(b^2) c. 2/(b c)-1/(a^2) d. ((a-c)(3a+c))/(4a^2c^2)

If the equation (a^2+b^2)x^2-2(a c+b d)x+c^2+d^2=0 has equal roots, then (a) a b=c d (b) a d=b c (c) a d=sqrt(b c) (d) a b=sqrt(c d)

If a^2+b^2+c^2=16 and a b+b c+c a=10 , find the value of a+b+c

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. If x ,y and z are posirive real umbers and x=(12-y z)/(y+z) . The max...

    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,c ...

    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 odotc 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

    |