Home
Class 12
MATHS
If the sum of the roots of the quadratic...

If the sum of the roots of the quadratic equation `ax^(2) + bx + c = 0 ` is equal to the sum of the squares of their reciprocals, then a/c, b/a and c/b are in

A

Geometric Progression

B

Harmonic Progression

C

Arithmetic - Geometric Progression

D

Arithmetic Progression

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RELATIONS

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

  • SETS ( APPENDIX - 1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE|70 Videos

Similar Questions

Explore conceptually related problems

The roots of a quadratic equation ax^(2) + bx + c = 0 "is"

IF the sum of the roots of the quadratic equation ax ^2 + bx +c=0 is equal to sum of the square of their reciprocals then (b^2)/(ac) +(bc )/(a^2) =

The product of roots of quadratic equation ax^(2) + bx + c = 0 is

The roots of a quadratic equation ax^2- bx + c = 0, a ne 0 are

Show that the sum of roots of a quadratic equation ax^(2) + bx + c = 0 "is" (-b)/a

If the roots of a quadratic equation ax^(2) + bx + c = 0 are real and equal then b^(2) =…

If the sum of the roots of x^(2) + bx + 1 = 0 , is equal to the sum of their squares, then b =

If the ratio of the roots of the equation ax^(2)+bx+c=0 is m: n then

DIPTI PUBLICATION ( AP EAMET)-SEQUENCES AND SERIES -EXERCISE
  1. IF the roots of (b-c) x^2+ (c-a) x+ (a-b) =0 are equal then ...

    Text Solution

    |

  2. IF the roots of a(b-c)x^2+b (c-a) x+c (a-b)=0 are equal then a, ...

    Text Solution

    |

  3. If the sum of the roots of the quadratic equation ax^(2) + bx + c = 0 ...

    Text Solution

    |

  4. If the system of linear equations x+2ay+az=0, x+3by+bz=0,x+4ch+cz=0 ha...

    Text Solution

    |

  5. Let f (x ) be a polynomial function of second degree. If f (1) = f( -1...

    Text Solution

    |

  6. If x gt 1, y gt 1 , z gt 1 are in G.P then (1)/(1 + log x ), (1)/( 1...

    Text Solution

    |

  7. If (a + bx)/(a - bx) = (b + cx)/(b - cx) = (c + dx)/(c - dx)( x ne 0),...

    Text Solution

    |

  8. If a^(x) = b^(y) = c^(z) = d^(t) and a ,b ,c d are in G.P . Then x, y,...

    Text Solution

    |

  9. If a,b and c are in G.P then (b - a)/(b - c) + (b + a)/(b + c)

    Text Solution

    |

  10. If a,b,c are unequal numbers such that a,b,c are in A.P and b - a, c -...

    Text Solution

    |

  11. If 2(y - a) is the H.M between y - x and y - z, then x - a, y -a, z - ...

    Text Solution

    |

  12. Suppose a, b, c are positive resl numbers different from 1. If log(a) ...

    Text Solution

    |

  13. If (1)/(a^(2)), (1)/(b^(2)), (1)/(c^(2)) are in H.P., then

    Text Solution

    |

  14. If b +c, c + a, a + b are in H.P then

    Text Solution

    |

  15. If a, 8, b are in A.P, a, 4 , b are in G.P, a , x, b are in H.P then x...

    Text Solution

    |

  16. Three positive numbers form an increasing G.P. if the middle term in t...

    Text Solution

    |

  17. If a,b,c are real

    Text Solution

    |

  18. If p,q,r are three positive real numbers then the value of (p + q) (q ...

    Text Solution

    |

  19. Suppose a, b, c are in A.P and a^(2), b^(2), c^(2) are in G.P if a lt ...

    Text Solution

    |

  20. If I(n) = int(0)^(pi//4) Tan^(n) x dx then I(2)+I(4), I(3)+I(5), I(4)+...

    Text Solution

    |