Home
Class 9
MATHS
When simplified (x^(-1)+y^(-1))^(-1) is ...

When simplified `(x^(-1)+y^(-1))^(-1)` is equal to `(a)\ x y` (b) `x+y` (c) `(x y)/(x+y)` (d) `(x+y)/(x y)`

Text Solution

Verified by Experts

`(x^(−1)+y^(−1))^(−1)`
`=(1/x+1/y)^(−1)`
`=((x+y)/(xy))^(−1)`
`=(xy)/(x+y)`
`therefore` When simplified `(x^(-1)+y^(-1))^(-1)=(xy)/(x+y)`
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    RD SHARMA|Exercise All Questions|23 Videos
  • FACTORIZATION OF ALGEBRAIC EXPRESSIONS

    RD SHARMA|Exercise All Questions|226 Videos

Similar Questions

Explore conceptually related problems

The expression (x+y)/(x-y)-:((x+y)^(2))/((x^(2)-y^(2))) is equal to -1( b) x-y( c) 1 (d) x+y is equal

Simplify xy [(x + y) ((1) / (x) - (1) / (y)) + (2x) / (y)]

If x=e^(y+e^(y+e^y^(------ ∞))) , x>0 , then (dy)/(dx) is equal to (A) (x)/(1+x) (B) (1)/(x) (C) (1-x)/(x) (D) (1+x)/(x)

If x and y are of same sign,then the value of (x^(3))/(2)cos ec^(2)((1)/(2)(tan^(-1)x)/(y))+(y^(3))/(2)sec^(2)((1)/(2)(tan^(-1)y)/(x)) is equal to (x-y)(x^(2)+y^(2)) (b) (x+y)(x^(2)-y^(2))(x+y)(x^(2)+y^(2))*(d)(x-y)(x^(2)-y^(2))

Let y=sqrt(x+sqrt(x+sqrt(x+oo))) , (dy)/(dx) is equal to (a)1/(2y-1) (b) x/(x+2y) (c)1/(sqrt(1+4x) (d) y/(2x+y)

If x^(y)=y^(x), then ((x)/(y))^(x/y) is equal to a.x^(y/x) b.x^((x)/(y)-1) c.1d.x^((x)/(y))

The value of ((x-y)^(3)+(y-z)^(3)+(z-x)^(3))/(9(x-y)(y-z)(z-x)) is equal to (a)0(b)(1)/(9)(c)(1)/(3)(d)1

If x=a/(a-1) and y=1/(a-1) , then x is equal to y (b) x is equal to y only if a<1 (c) x is greater than y (d) x is greater than y only if a<1 (e) y is greater than x only if a<1

RD SHARMA-EXPONENTS OF REAL NUMBER-All Questions
  1. The square root of 64 divided by the cube root of 64 is 64 (b) 2 (...

    Text Solution

    |

  2. Which of the following is (are) not equal to {(5/6)^(1/5)}^(-1/6)\ ? ...

    Text Solution

    |

  3. When simplified (x^(-1)+y^(-1))^(-1) is equal to (a)\ x y (b) x+y ...

    Text Solution

    |

  4. If 8^(x+1)=64 , what is the value of 3^(2x+1) ? 1 (b) 3 (c) 9 (d) ...

    Text Solution

    |

  5. If 0ltyltx , which statement must be true? sqrt(x)-\ sqrt(y)=\ sqrt(x-...

    Text Solution

    |

  6. If x is a positive real number and x^2=2, then x^3= sqrt(2) (b) 2s...

    Text Solution

    |

  7. If (2^3)^2=4^x ,\ then 3^x= 3 (b) 6 (c) 9 (d) 27

    Text Solution

    |

  8. If 10^x=64 , what is the value of 10^(x/2+1) ? (a) 18 (b) 42 (c) 8...

    Text Solution

    |

  9. If x/(x^(1. 5)\ )=8x^(-1) and x >0, then x= (sqrt(2))/4 (b) 2sqrt(...

    Text Solution

    |

  10. If g=t^(2/3)+\ 4t^(-1/2) , what is the value of g when t=64 ?

    Text Solution

    |

  11. If x^(-2)=64 , then x^(1/3)+\ x^0= (a) 2 (b) 3 (c) 3/2 (d) 2/3

    Text Solution

    |

  12. If 4^x-\ 4^(x-1)=24 , then (2x)^x equals 5sqrt(5) (b) sqrt(5) (c...

    Text Solution

    |

  13. When simplified (-1/(27))^(-2/3) is 9 (b) -9 (c) 1/9 (d) -1/9

    Text Solution

    |

  14. Which one of the following is not equal to root(3)(8)^(-1/2)\ ? (a)r...

    Text Solution

    |

  15. Which one of the following is not equal to ((100)/9)^(-3/2) ? (a)\ (9/...

    Text Solution

    |

  16. When simplified (256)^-(4^((-3//2)\ )) is 8 (b) 1/8 (c) 2 (d) 1...

    Text Solution

    |

  17. (5^(n+2) −6 xx 5^(n+1))/(3 xx 5^n − 2xx 5^(n+1)) is equal to ...

    Text Solution

    |

  18. If a ,\ b ,\ c are positive real numbers, then sqrt(a^(-1)b)\ xx\ sqrt...

    Text Solution

    |

  19. If (3^(2x-8))/(225)=(5^3)/(5^x) , then x= 2 (b) 3 (c) 5 (d) 4

    Text Solution

    |

  20. If (2/3)^x\ \ (3/2)^(2x)=(81)/(16), . then x= 2 (b) 3 (c) 4 (d)...

    Text Solution

    |