Home
Class 10
MATHS
Sum of a number and its reciprocal is 5...

Sum of a number and its reciprocal is `5(1)/(5).` Then the required equations is :

A

` y ^(2) +( 1)/(y) = (26)/( 5) `

B

` 5y ^(2) - 26y + 5=0`

C

` y^(2) +(1)/( y) +(26)/( 5) =0 `

D

` 5y^(2) + 26y + 5=0`

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    OSWAAL PUBLICATION|Exercise TOPIC -2 Relation between Roots and its Coefficients and Formation of Equations (VERY SHORT ANSWER TYPE QUESTIONS) |9 Videos

  • QUADRATIC EQUATIONS

    OSWAAL PUBLICATION|Exercise TOPIC -2 Relation between Roots and its Coefficients and Formation of Equations ( SHORT ANSWER TYPE QUESTIONS ) |10 Videos

  • QUADRATIC EQUATIONS

    OSWAAL PUBLICATION|Exercise TOPIC -1 ROOTS OF THE EQUATIONS ( LONG ANSWER TYPE QUESTION -II ) |9 Videos

  • PROBABILITY

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 14.2)|4 Videos

  • REAL NUMBERS

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER ( EXERCISE 8.4 )|12 Videos

Similar Questions

Explore conceptually related problems

Sum of a number and its reciprocal is 5 1/5 . Find the number.

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

The sum of a number and its square is 42. It represent the equations

The sum of a number and twice its square is 78. The correct form is its equation is:

The sum of three numbers in HP is 37 and the sum of their reciprocals is (1)/(4) . Find the numbers.

If the sum of the roots of a quadratic equations is -5 and the product is 4, the the equation is:

A variable plane moves, so that the sum of the reciprocals of its intercepts on the coordinate axes is 1/2. Then the plane passes through

Statement -1 In the equation ax^(2)+3x+5=0 , if one root is reciprocal of the other, then a is equal to 5. Statement -2 Product of the roots is 1.

Three numbers are in the ratio (1)/(3) : ( 1)/(5) : ( 1)/(6) . If the sum of their squares is 644 , find the numbers.

If one root of the equation 5 x^(2)+13 x+k=0 is reciprocal of other, then the value of k is

OSWAAL PUBLICATION-QUADRATIC EQUATIONS -TOPIC -2 Relation between Roots and its Coefficients and Formation of Equations (MULTIPLE CHOICE QUESTIONS
  1. If m and n are roots of a quadratic equation ,then the standard form o...

    Text Solution

    |

  2. If m and n are roots of equations 2x^(2) - 6x +1=0 , then the value...

    Text Solution

    |

  3. Sum of a number and its reciprocal is 5(1)/(5). Then the required equ...

    Text Solution

    |

  4. In the equations ax^(2) +bx +c=0 , if b=0 then the equations.

    Text Solution

    |

  5. The length of a rectangle is 4 cm more then the breadth. The area is 6...

    Text Solution

    |

  6. If the sum of the roots of a quadratic equations is -5 and the product...

    Text Solution

    |

  7. The product of the roots of the equations x^(2) + 5x+ (k+ 4) =0 i...

    Text Solution

    |

  8. The quadratic equations among the following is :

    Text Solution

    |

  9. The sum and product of the roots of the quadratic equation 4x^(2) + ...

    Text Solution

    |

  10. The hypotenuse of a right-angled triangle is 13 cm. If one side of the...

    Text Solution

    |

  11. If the roots of a quadratic equations are 0 and -(1)/( 2), the equatio...

    Text Solution

    |

  12. Twice the square of a number added to three times the number is equal ...

    Text Solution

    |

  13. Select the pure quadratic equations:

    Text Solution

    |

  14. The roots of an equation are +2 and -2 ,then the equations is a/an:

    Text Solution

    |

  15. The height of triangle is 4 cm more than the base. Its area is 30 sq. ...

    Text Solution

    |

  16. If an equation has only one root , then the equations is:

    Text Solution

    |

  17. If m and n are the roots of the equations x^(2) - 6x+ 2 =0 then the ...

    Text Solution

    |

  18. The quadratic equation whose roots are (3+-sqrt(5)) is :

    Text Solution

    |

  19. The sum and product of the roots of the equations 2x^(2) = 3x, respec...

    Text Solution

    |

  20. If the product of the roots of the equations x^(2) + 3x + q=0 is ze...

    Text Solution

    |