Home
Class 12
MATHS
If 1/a+1/b+1/c = 1/(a+b+c) then (a+b)(...

If `1/a+1/b+1/c = 1/(a+b+c)` then `(a+b)(b+c)(c+a)=.......`
a.`a b c`
b. `1/(a b c)`
c.`0`
d. `1`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

1/((log)_(sqrt(b c))a b c)+1/((log)_(sqrt(c a))a b c)+1/((log)_(sqrt(a b))a b c) has the value of equal to: a. 1/2 b. 1 c. 2 d. 4

If a!=b!=c\ and\ |{:(a, b, c), (a^2,b^2,c^2), (b+c, c+a, a+b):}|=0 then A. a+b+c=0 B. a b+b c+c a=0 C. a^2+b^2+c^2=a b+b c+c a D. a b c=0

If a,b,c are in geometric progression then ((1)/(b)+ (1)/(c )-(1)/(a)) ((1)/(c ) + (1)/(a) - (1)/(b)) = ……..

If A = {a,b,c,d} and the function f ={(a,b),(b,d) , (c,a) ,(d,c) } . Write f^(-1) .

If (a, 1, 1), (1, b, 1) and (1, 1, c) are coplanar then prove that (1)/(1-a)+(1)/(1-b)+(1)/(1-c)=1 .

Prove that |b c-a^2c a-b^2a b-c^2-b c+c a+a bb c-c a+a bb c+c a-a b(a+b)(a+c)(b+c)(b+a)(c+a)(c+b)|=3.(b-c)(c-a)(a-b)(a+b+c)(a b+b c+c a)

If a +b+c = alphad, b+c+d=beta a and a, b, c are non-coplanar, then the sum of a +b+c+d =

If a(1/b+1/c),b(1/c+1/a),c(1/a+1/b) are in A.P., prove that a,b,c are in A.P.

If in a triangle ABC, /_C=60^@ , then prove that 1/(a+c)+1/(b+c)=3/(a+b+c)

If a,b,c are real numbers such that 3(a^(2)+b^(2)+c^(2)+1)=2(a+b+c+ab+bc+ca) , than a,b,c are in

ALLEN -LOGARITHMS-All Questions
  1. The ratio (2^(log(2)a^4)-3^(log(27)(a^2+1)^3)-2a)/((7^(4log(49)a)-a-1)...

    Text Solution

    |

  2. The value of expression, (log)4((x^2)/4)-2(log)4(4x^4) when x=-2 is ...

    Text Solution

    |

  3. If 1/a+1/b+1/c = 1/(a+b+c) then (a+b)(b+c)(c+a)=....... a.a b c ...

    Text Solution

    |

  4. Which one of the following denotes the greatest positive proper frac...

    Text Solution

    |

  5. If p=s/((1+k)^n),\ t h e n\ n\ equals a.logs/(p(1+k)) b. (log(s/p)...

    Text Solution

    |

  6. Value of x satifying (log)(10)sqrt(1+x)+3(log)(10)sqrt(1-x)=(log)(10)s...

    Text Solution

    |

  7. Given system of simultaneous equations 2^x\ . 5^y=1\ a n d\ 5^(x+1). 2...

    Text Solution

    |

  8. The value of N satisfying (log)a[1+(log)b\ {1+(log)c(1+(log)p N)}]=0 i...

    Text Solution

    |

  9. If alpha, beta, gamma are the roots of the cubic x^(3)-px^(2)+qx-r=0 ...

    Text Solution

    |

  10. If a^x=b , b^y=c ,c^z=a and x=(log)b a^2, y=(log)c b^3,z=(log)a c^k ,...

    Text Solution

    |

  11. The number of real solutions of the equation (9/10)^(x)=-3+x-x^(2) is

    Text Solution

    |

  12. Which of the following when simplified reduces to an integer? a.(2...

    Text Solution

    |

  13. The equation ((log)8(8/(x^2)))/(((log)8x^2))=3 has a.\ no integra...

    Text Solution

    |

  14. Which of the following when simplified reduces to an integer? a.(2...

    Text Solution

    |

  15. If alpha, beta be the roots of the equation x^(2)-px+q=0, then find th...

    Text Solution

    |

  16. Which one of the following denotes the greatest positive proper frac...

    Text Solution

    |

  17. If log(a)b +log(b)c = +log(c) a vanishes where a,b and c are positive ...

    Text Solution

    |

  18. The solution set of the system of equations log12 x(1/(logx 2)+log2...

    Text Solution

    |

  19. If x1and \ x2 are the solution of the equation x^(3log10^3x-2/3log(10)...

    Text Solution

    |

  20. If a^x=b , b^y=c ,c^z=a and x=(log)b a^2, y=(log)c b^3,z=(log)a c^k ,...

    Text Solution

    |