Home
Class 8
MATHS
Prove that: 1/(1+x^(b-a)+\ x^(c-a))+1/(1...

Prove that: `1/(1+x^(b-a)+\ x^(c-a))+1/(1+x^(a-b)+\ x^(c-b))+1/(1+x^(b-c)+x^(a-c))=1`

A

`1/2`

B

2

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • EXPONENTS

    S CHAND IIT JEE FOUNDATION|Exercise SELF ASSESSMENT SHEET|10 Videos

  • EXPONENTS

    S CHAND IIT JEE FOUNDATION|Exercise SELF ASSESSMENT SHEET|10 Videos

  • DISTANCE, TIME AND SPEED

    S CHAND IIT JEE FOUNDATION|Exercise Unit Test-3 |20 Videos

  • FACTORIZATION OF ALGEBRAIC EXPRESSIONS

    S CHAND IIT JEE FOUNDATION|Exercise SELF ASSESSMENT SHEET-8 |10 Videos

Similar Questions

Explore conceptually related problems

Show that: (1)/(1+x^(b-a)+x^(c-a))+(1)/(1+x^(a-b)+x^(c-b))+(1)/(1+x^(b-c)+x^(a-c))=1

(1)/(1+x^(b-a)+x^(c-a))+(1)/(1+x^(a-b)+x^(c-b))+(1)/(1+x^(a-c)+x^(b-c))

Differentiate (1)/(1+x^(b-a)+x^(c-a))+(1)/(1+x^(a-b)+x^(c-b))+(1)/(1+x^(a-c)+x^(b-c)) w.r.t. to x.

(1)/(1+x^(a-b)+x^(a-c))+(1)/(1+x^(b-c)+x^(b-a))+(1)/(1+x^(c-a)+x^(c-b))=1

If y = (1)/(1 + x^(a - b) + x^(c - b)) + (1)/(1 + x^(b-c) + x^(a - c)) + (1)/(1 + x^(b - a) + x^(c - a)) then find (dy)/(dx) at e^(a^(b^(c )))

Prove that (x^(b-c))^(a)(x^(a-b))^(c)(x^(c-a))^(b)=1

(1)/(x^(b)+x^(-c)+1)+(1)/(x^(c)+x^(-a)+1)+(1)/(x^(a)+x^(-b)+1)

Prove that: ((x^(a))/(x^(b)))^(c)x((x^(b))/(x^(c)))^(a)x((x^(c))/(x^(a)))^(b)=1

S CHAND IIT JEE FOUNDATION-EXPONENTS -QUESTION BANK
  1. The value of (5.(25)^(n+1) + 25.(5)^(2n-1))/(25.(5)^(2n) -105(25)^(n-1...

    Text Solution

    |

  2. If 5sqrt(5) xx 5^(3) /5^(-3/2) = 5^(a +2) then the value of a is

    Text Solution

    |

  3. What is the expression (x+y)^(-1) (x^(-1) +y^(-1)) (xy^(-1) +x^(-1)y)^...

    Text Solution

    |

  4. If 2^(x) - 2^(x-1)=4, then what is the value of 2^(x) + 2^(x-1) ?

    Text Solution

    |

  5. If x=y^(z), y = z^(x) and z=x^(y), then

    Text Solution

    |

  6. Prove that: 1/(1+x^(b-a)+\ x^(c-a))+1/(1+x^(a-b)+\ x^(c-b))+1/(1+x^(b-...

    Text Solution

    |

  7. Find the value of x if [3^(2x-2) +10] // 13=7

    Text Solution

    |

  8. Prove that: (2^(1/2)\ x\ 3^(1/3)\ x\ 4^(1/4))/(10^(-1/5)\ x\ 5^(3/5))\...

    Text Solution

    |

  9. x^((a+b-c)/((a-c)(b-c))) . x^((b+c-a)/((b-a)(c-a))) . x^((c+a-b)/((c-b...

    Text Solution

    |

  10. The value of (x^(q)/x^(r))^(1/(qr)) xx (x^(r)/x^(p))^(1/(rp)) xx (x^(p...

    Text Solution

    |

  11. The largest number among the following is:

    Text Solution

    |

  12. If 6^(x) -36=7740, then x^(x) =

    Text Solution

    |

  13. The value of: (9^(x)(9^(x-1)))^(x)/(9^(x+1).3^(2x-2)){(729^(x/3))/8...

    Text Solution

    |

  14. Find the value of (2^(1//4)- 1) (2^(3//4) + 2^(1//2) +2^(1//4) + 1)

    Text Solution

    |

  15. Simplify: (a^(1/2) +a^(-1/2))/(1-a) + (1-a^(-1/2))/(1-sqrt(a))

    Text Solution

    |

  16. If 3^(x+y) =81 and 81^(x-y) = 3, then the value of x and y are:

    Text Solution

    |

  17. Find x, If 8^(x-2) xx (1/2)^(4-3x) = (0.0625)^(x)

    Text Solution

    |

  18. Find the value of the expression ((x^(a+b))^2xx (x^(b+c))^2xx(x^(c+a))...

    Text Solution

    |

  19. If (2.4)^(x) =(0.24)^(y) =10^(z), then show that 1/x - 1/z =1/y

    Text Solution

    |

  20. If 2^(x) = 4^(y) = 8^(z) and xyz = 288, the value of 1/(2x) + 1/(4y) +...

    Text Solution

    |