Home
Class 12
MATHS
Let two numbers have arithmetic mean 9 a...

Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the roots of the quadratic equation

A

`x^(2)+18x-16=0`

B

`x^(2)-18x+16=0`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|50 Videos

  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos

  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

Similar Questions

Explore conceptually related problems

Find two numbers whose arithmetic mean is 34 and the geometric mean is 16.

If a is the arithmetic mean and g is the geometric mean of two numbers, then

The two geometric means between the numbers 1 and 64 are

What is the nature of roots of quadratic equations 9x^(2)-12x+4=0 ?

Let the harmonic mean and geometric mean of two positive numbers be in the ratio 4:5. Then the two numbers are in ratio............ (1992, 2M)

Let a be a positive number such that the arithmetic mean of a and 2 exceeds their geometric mean by 1. Then the value of a

Statement 1: If the arithmetic mean of two numbers is 5/2 geometric mean of the numbers is 2, then the harmonic mean will be 8/5. Statement 2: For a group of positive numbers (GdotMdot)^2=(AdotMdot)(HdotMdot)dot

The harmonic mean of two numbers is 4. Their arithmetic mean A and the geometric mean G satisfy the relation 2A+G^2=27. Find two numbers.

The number of roots of the equation |x|= x^(2)+x-4 is

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. If z and omega are two non-zero complex numbers such that |z omega|=1"...

    Text Solution

    |

  2. Let z(1)" and "z(2) be two roots of the equation z^(2)+az+b=0, z being...

    Text Solution

    |

  3. Let two numbers have arithmetic mean 9 and geometric mean 4. Then thes...

    Text Solution

    |

  4. If (1-p) is a root of quadratic equation x^(2)+px+(1-p)=0 then its roo...

    Text Solution

    |

  5. If one root of the equation x^(2)+px+12=0 is 4, while the equation x^(...

    Text Solution

    |

  6. Let z, omega be complex numbers such that bar(z)+ibar(omega)=0" and "a...

    Text Solution

    |

  7. If z= x-iy" and "z^(1/3)= p+iq, then (((x)/(p)+(y)/(q)))/((p^(2)+q^(2)...

    Text Solution

    |

  8. If |z^(2)-1|=|z^(2)|+1, then z lies on

    Text Solution

    |

  9. If z(1)" and "z(2) are two non-zero complex numbers such that |z(1)+z(...

    Text Solution

    |

  10. If omega=(z)/(z-(1/3)i)" and "|omega|=1, then z lies on

    Text Solution

    |

  11. If the cube roots of unity are 1, omega, omega^(2) then the roots of t...

    Text Solution

    |

  12. The value of a for which the sum of the squares of the roots of the eq...

    Text Solution

    |

  13. If the both roots of the equation x^(2)-bx+c=0 be two consecutive inte...

    Text Solution

    |

  14. If the both the roots of the quadratic equation x^(2)-2kx+k^(2)+k-5=0 ...

    Text Solution

    |

  15. Find the derivative of x^(n)+ax^(n-1)+a^(2)x^(n-1)+ . . .+a^(n-1)x+a^(...

    Text Solution

    |

  16. If the roots of the quadratic equation x^(2)+px+q=0 are tan 30^(@)" an...

    Text Solution

    |

  17. All the values of m for which both roots of the equation x^(2)-2mx+m^(...

    Text Solution

    |

  18. The value of is sum(k=1)^(10)(sin"" (2k pi)/(11)+ icos ""(2k pi)/(11))...

    Text Solution

    |

  19. If z^(2)+z+1=0, where z is a complex number, then the value of (z+(1)/...

    Text Solution

    |

  20. If, |z+4| le 3, then the maximum value of |z+1| is

    Text Solution

    |