Home
Class 12
MATHS
Let two numbers have arthmetic mean ...

Let two numbers have arthmetic mean 9 geometric mean 4. then these numbers are the roots of the quadratic equation

A

`x^2 + 18 x+ 16=0`

B

` x^2 - 18 x - 16 =0`

C

` x^2 + 18-16=0`

D

` x^2 -18+16=0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (QUADRATIC EXPRESSIONS)|106 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -1)|4 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos

  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 Videos

Similar Questions

Explore conceptually related problems

The arithrmetic mean of two positive numbers is 9 and geometric mean is 4. Then these numbers are the roots of the equation

The number of zeroes of a quadratic equation

The possible number of roots to a quadratic equation are….

If b^(2) -4ac lt 0 then the roots of the quadratic equation are…

"If" b^(2) -4ac = 0 then the roots of the quadratic equation are…

"If" b^(2) - 4ac gt 0 then the roots of the quadratic equation are…

The sum of two number is 6 times their geometric mean, then the numbers are in the ratio is

The harmonic mean of two numbers is 4 their arithmetic mean is A and geometric mean is G. if G satisfies 2A + G^(2) = 27, the numbers are

The ratio of the harmonic mean to the geometric mean of two positive numbers is 12/13. the numbers are in the ratio

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. Two complex numbers alpha and beta are such that alpha + ...

    Text Solution

    |

  2. IF the arithmetic mean of the roots of a quadratic equation is...

    Text Solution

    |

  3. Let two numbers have arthmetic mean 9 geometric mean 4. then...

    Text Solution

    |

  4. The equation whose roots are the arthmatic mean and twice the ...

    Text Solution

    |

  5. IF alpha, beta are the roots of 9x^2+6x+1=0 then the equation ...

    Text Solution

    |

  6. The equation whose roots are greater by 1 than those of 2x ^2-3x ...

    Text Solution

    |

  7. IF alpha , beta are the roots of ax^2 + bx +c=0 then the equat...

    Text Solution

    |

  8. The equation whose roots are smaller by 1 then those of 2x ^2-5...

    Text Solution

    |

  9. the equation formed by decreasing each root of ax ^2 +bx+C=0 by...

    Text Solution

    |

  10. If alpha , beta are the roots of a ^2 x + bx +c=0 and alpha + ...

    Text Solution

    |

  11. IF alpha , beta are the roots of x^2+bx +c=0 and alpha + h, b...

    Text Solution

    |

  12. IF alpha and beta are the roots of the equation ax ^2+bx +C=...

    Text Solution

    |

  13. The equation whose roots are numerically equal but opposite in ...

    Text Solution

    |

  14. The equation whose roots are multipled by 3 of those of 2x ^2 ...

    Text Solution

    |

  15. The condition that one root of ax ^2+bx +c=0 may be n times th...

    Text Solution

    |

  16. The condition that one root of ax ^2 + bx +c=0 may be the dou...

    Text Solution

    |

  17. If one root of x^2+kx +12 =0 may be the triple the other , then...

    Text Solution

    |

  18. IF one root ofpx^2-14 x + 8 =0 is six times the other then p=

    Text Solution

    |

  19. IF the roots of ax^2+cx+c=0 are in the ratio p:q then sqrt([(p)/(q...

    Text Solution

    |

  20. IF one root of x^2-x-k=0 is square that of the other, then k=………

    Text Solution

    |