Home
Class 10
MATHS
The sum of a proper fraction and its re...

The sum of a proper fraction and its reciprocal is `(10)/(3)`. Write the equation.

Text Solution

Verified by Experts

The correct Answer is:
`x+(1)/(x)=(10)/(3);`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION IN ONE VARIABLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.4|28 Videos

  • QUADRATIC EQUATION IN ONE VARIABLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.5|40 Videos

  • QUADRATIC EQUATION IN ONE VARIABLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.2|26 Videos

  • PYTHAGORAS THEOREM

    CALCUTTA BOOK HOUSE|Exercise EXAMPLE 6|4 Videos

  • QUADRATIC SURDS

    CALCUTTA BOOK HOUSE|Exercise Exercise -3.2|28 Videos

Similar Questions

Explore conceptually related problems

The difference of a proper fraction and its reciprocal is (9)/(20) . Then find the equation.

If the sum of the fraction and its reciprocal is 2(16)/(21) , find the fraction.

If the difference between a proper fraction and its reciprocal is 9/20 , find the proper fraction.

Find the fraction less than one such that the sum of the numerator and denominator is 10 and the difference between the fraction and its reciprocal is (40)/(21) .

The centre of a circel is at (2, -3) and its circumference is 10pi, then the equation os the circel is-

Sum of the numerator and the denominator of a fraction is 13. If 4 is added to the numerator and 10 is added to the denominator of the fraction it becomes (1)/(2) . Find the fraction.

If the sum of the roots of an equation is 2 and the sum of their cubes is 98, then find the equation.

Let's find the reciprocals of the following fraction and mark the reciprocals 'O' sign which are proper fractions. (ii) 1/3

Let's find the reciprocals of the following fraction and mark the reciprocals 'O' siga which are proper fractions. (v) 12/5

CALCUTTA BOOK HOUSE-QUADRATIC EQUATION IN ONE VARIABLE-EXERCISE-1.3
  1. The equation (sqrta-1)x^(2)+bx+c=0 will be quadratic equation if ane .

    Text Solution

    |

  2. One of the roots of equation (z^(2))/(z)=2 is .

    Text Solution

    |

  3. The sum of a proper fraction and its reciprocal is (10)/(3). Write th...

    Text Solution

    |

  4. For what value of n, the equation x^(n)+(1)/(sqrtx)=-k will be a quadr...

    Text Solution

    |

  5. Determine the roots of the equation x^(2)=4x.

    Text Solution

    |

  6. Root/ roots of the equation (x^(2))/(x)=6 is /are.

    Text Solution

    |

  7. Total price of 3 pens and 4 pencils is Rs. 37. Again , total price of ...

    Text Solution

    |

  8. The price of 5 tables and 9 chairs together is RS 1900. Again, the pri...

    Text Solution

    |

  9. The price of 5 horses and 7 cows together is RS 8700. Again, the price...

    Text Solution

    |

  10. The price of 2 tables and 3 chairs together is RS 1075. Again, the pri...

    Text Solution

    |

  11. Satyababu went to a marked with RS 60 in pocket to buy some khatas and...

    Text Solution

    |

  12. The weight of Prodip and Prokash together is 80 kg. Half of the weight...

    Text Solution

    |

  13. A student walking at a speed of 2(1)/(2) km per hour reaches his schoo...

    Text Solution

    |

  14. Divide 77 into three such parts that three times of the sum of 1st and...

    Text Solution

    |

  15. Two men and 6 boys together can do a work in 5 days. 8 men and 3 boys ...

    Text Solution

    |

  16. Before three years, the age of a father was 5 times the age of his son...

    Text Solution

    |

  17. The sum of the ages of a father and his son is at present 50 years. Wh...

    Text Solution

    |

  18. The sum of two numbers is equal to 80. Three times of the difference o...

    Text Solution

    |

  19. The sum of the two digits of a two digits' number is 9. if the digits ...

    Text Solution

    |

  20. If 1 is subtracted from the numerator and 2 is added to the denomenato...

    Text Solution

    |