Home
Class 12
MATHS
IF the sum of the roots of ax^2+bx+c=0 i...

IF the sum of the roots of `ax^2+bx+c=0` is equal to the sum of the squares of the roots, then……..

A

A.P

B

G.P

C

H.P

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
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

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

If the sum of the roots of ax^(2) + bx + c = 0 is equal to the sum of the reciprocals of their squares then bc^(2), ca^(2), ab^(2) are in

Sum of the roots of bx^(2) + ax + 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) =

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

If the roots of ax ^2 + bx +c=0 are both positve , then

Find a quadratic equation for which the sum of the roots is 7 and the sum of the squares of the roots is 25.

Product of the roots of ax^(2) + bx + c = 0 is…

IF the difference of the roots of x^2-bx+c=0 is equal to the difference of the roots of x^2-cx +b=0 and b ne 0 , then b+c=

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. IF the roots of a(b-c)x^2+b (c-a) x+c (a-b)=0 are equal then a, ...

    Text Solution

    |

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

    Text Solution

    |

  3. IF the sum of the roots of ax^2+bx+c=0 is equal to the sum of the squa...

    Text Solution

    |

  4. IF alpha , beta are the roots of the equation ax^2 + bx +c=0 ...

    Text Solution

    |

  5. IF 3+ 4i is a root of the equation x^2 +px +q=0 then

    Text Solution

    |

  6. IF 3+i is a root of the equation x^2 + ax + b=0 then a=

    Text Solution

    |

  7. IF one root of the quadratic equation ax^2+bx +c=0 is 3-4i the...

    Text Solution

    |

  8. IF (1-p) is a root of quadratic equation X^2 +px +(1-p)=0 the...

    Text Solution

    |

  9. IF one root of the equation x^2 +px +12=0 is 4, while the equat...

    Text Solution

    |

  10. If x^(2)-6x+5=0 and x^(2)-12x+p=0 have a common root, then find p.

    Text Solution

    |

  11. If x^2-hx - 21 =0 , x^2 - 3hx +35 =0 have a common root then h=

    Text Solution

    |

  12. The value of a such that x^2 -11x+a =0 ,x^2 -14 x + 2a=0 may h...

    Text Solution

    |

  13. IF the equation x^2-x-p=0 and x^2 + 2px -12 =0 have a common r...

    Text Solution

    |

  14. IF x^2 +bx +c=0, x^2+cx +b=0 (b ne c) have a coomon root then ...

    Text Solution

    |

  15. IF ax^2 + 2cx + b=0 and ax^2 + 2bx +c=0 ( b ne 0) have a common...

    Text Solution

    |

  16. IF x^2 +ax+bc=0 and x^2+bx +ca=0 have a common root , then a + b...

    Text Solution

    |

  17. If the quadratic equations ax^(2)+2bx+c=0 and ax^(2)+2cx+b=0, (b ne c)...

    Text Solution

    |

  18. If x^2 - cx +d =0 , x^2-ax +b=0 have one common root and secon...

    Text Solution

    |

  19. IF x^2 +bx +a=0, ax^2+x+b=0 have a common root and the first eq...

    Text Solution

    |

  20. IF the equations x^2+2x +3=0 and ax^2 +bx +c=0 ,a,b,c in R hav...

    Text Solution

    |