Home
Class 12
MATHS
IF the roots of a^2x^2-abx +c=0 are c...

IF the roots of `a^2x^2-abx `+c=0` are consecutive integers , then `b^2-a^2`=

A

14C

B

7c

C

5c

D

4c

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

If the roots of x^(2)-bx+c=0 are two consecutive integers, then b^(2) - 4c =

If roots of the equation x^2-bx +c=0 be two consecutive integers , then b^2 - 4c equals

The roots of 2x^(2) + x - 4 = 0 are…

If the roots of a^2x^2 + 2 bx + c^2 =0 are imaginary then the roots of b (x^2+1)+2acx =0 are

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

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

If the ratio of the roots of a(x)^2+bx +c=0 is same as that of the roots of px^2 +qx+r=0 then a//p,b//q,c//r are in

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=

If the roots of ax^(2) + bx + c = 0 are 2, (3)/(2) then (a+b+c)^(2)

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. IF the roots of the equation (1)/(x+p) +(1)/(x+q) =(1)/(r ) are ...

    Text Solution

    |

  2. IF (1)/(x) +(1)/(x+a) =(1)/(m)+(1)/(m+a) has roots equal in magnit...

    Text Solution

    |

  3. IF the roots of a^2x^2-abx +c=0 are consecutive integers , then ...

    Text Solution

    |

  4. If r is the ratio of the roots of ax ^2 + bx +C=0 then ((r +1)^2)...

    Text Solution

    |

  5. IF the roots of ax^2 +bx +c=0 are of the form (m+1)/(m ) ,(m+2)/...

    Text Solution

    |

  6. IF (a alpha + b )^(-2)+ ( abeta + b)^(-2) =1 , where alpha , b...

    Text Solution

    |

  7. IF the equation x^2 +2(k+1)x+9k-5=0 has only negative roots , th...

    Text Solution

    |

  8. All the values of m for which both roots of the equation x^2-...

    Text Solution

    |

  9. The values of a for which of a for which 2x^2-2(2a +1)x+a(a+1) =...

    Text Solution

    |

  10. The value of a for which the equation (1-a ^2)x^2+2ax -1 has roo...

    Text Solution

    |

  11. The value of a for which each one of the roots of x^2-4ax+2a^...

    Text Solution

    |

  12. The value of 'a' for which one root of the quadratric equation ...

    Text Solution

    |

  13. IF both the roots of the quadratic equation x^2-2kx+k^2 +k -5=0 a...

    Text Solution

    |

  14. If roots of the equation x^2-bx +c=0 be two consecutive intege...

    Text Solution

    |

  15. p and q are distinct prime numbers and if the equation x^2 -px ...

    Text Solution

    |

  16. IF both the roots of the equation x^2 -6ax+2-2a +9a^2 =0 exceed 3...

    Text Solution

    |

  17. If the roots of x^2+x+a=0 exceed , a then

    Text Solution

    |

  18. The roots of 3x^2 + 4x -7=0 are

    Text Solution

    |

  19. The roots of 5x^2 -3x +2=0 are

    Text Solution

    |

  20. The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0are

    Text Solution

    |