Home
Class 11
MATHS
If a ,b ,c are the sides of a triangle,...

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`

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 , 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 are the sides of triangle , then the least value of (a)/(c+a-b)+(b)/(a+b-c)+(c )/(b+c-a) is

If a,b,c are three positive real numbers then the minimum value of the expression (b+c)/a+(c+a)/b+(a+b)/c is

If a,b,c are the sides of a triangle then a/(b+c-1)+b/(c+a-b)+c/(a+b-c)=

Given that a , b , c , are the side of a A B C which is right angled at C , then the minimum value of (c/a+c/b)^2 is

Let a,b,c be the sides of a triangle ABC, a=2c,cos(A-C)+cos B=1. then the value of C is

If a, b and c represent the lengths of sides of a triangle then the possible integeral value of (a)/(b+c) + (b)/(c+a) + (c)/(a +b) is _____

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

If a ,b ,c are sides of a scalene triangle, then value of |[a, b, c] ,[b, c, a] ,[c, a, b]| is positive (b) negative non-positive (d) non-negative

If a, b, c are positive and unequal, show that value of the determinant Delta=|a b c b c a c a b| is negative.

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. If positive numbers a ,b ,c are in H.P., then equation x^2-k x+2b^(10...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. 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

    |

  6. 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

    |

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

    Text Solution

    |

  8. Let a,b ,c be positive integers such that b/a is an integer. If a,b,c ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. If a ,b ,c are digits, then the rational number represented by odotc a...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. The sum of 20 terms of a series of which every even term is 2 times ...

    Text Solution

    |

  16. Let an be the nth term of a G.P. of positive numbers. Let sum(n=1)^(10...

    Text Solution

    |

  17. If the pth, qth, and rth terms of an A.P. are in G.P., then the common...

    Text Solution

    |

  18. In a G.P. the first, third, and fifth terms may be considered as the ...

    Text Solution

    |

  19. If a,b,c,d be in G.P. show that (b-c)^2+(c-a)^2+(d-b)^2=(a-d)^2.

    Text Solution

    |

  20. If the pth, qth, rth, and sth terms of an A.P. are in G.P., then p-q ,...

    Text Solution

    |