Home
Class 12
MATHS
If x^2 - cx +d =0 , x^2-ax +b=0 have ...

If ` x^2 - cx +d =0 , x^2-ax +b=0` have one common root and second has equal roots then ` 2 (b+d)` =

A

0

B

ac

C

a+c

D

a-c

Text Solution

Verified by Experts

The correct Answer is:
B
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 x^2 +bx +a=0, ax^2+x+b=0 have a common root and the first equation has equal roots then 2a^2+b=

If the equation x^(2)+ax+b=0 and x^(2)+cx+d=0 have a common root and the first equation has equal roots, then prove that 2(b+d)=ac.

IF x^2-4x+3=0,x^2-5x+k=0 have a common root, then k

If x^2 + bx + ca =0 , x^2 + cx +ab =0 have a common root then their other are the roots of the equation

If x^(2)-6x+5=0 and x^(2)-3ax+35=0 have common root, then find a.

If x^2 - 3 a x + 14 = 0 " and " x^2 + 2ax - 16 = 0 have a common root than a^4 + a^2 =

If x^2+ax+b=0,x^2+bx+a=0 have a common roots then

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

IF x^2 +px + q=0 and x^2 + qx +p=0 have a common root , then their other roots are the roots of

IF ax^2 + 2cx + b=0 and ax^2 + 2bx +c=0 ( b ne 0) have a common root , then b+c=

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. IF x^2 +ax+bc=0 and x^2+bx +ca=0 have a common root , then a + b...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. IF x^2 +P1 x+q1 =0, x^2 +p2 x +q2=0 , x^2 +p3 x+q3=0 has a coomon...

    Text Solution

    |

  7. The quadratic equation x-6x+a =0 and x^2-cx +6=0 have one ro...

    Text Solution

    |

  8. If x^2 + bx + ca =0 , x^2 + cx +ab =0 have a common root the...

    Text Solution

    |

  9. IF x^2 +px + q=0 and x^2 + qx +p=0 have a common root , then ...

    Text Solution

    |

  10. IF (x-2) is a common factor of the expression x^2 + ax + b ...

    Text Solution

    |

  11. IF alpha , beta are the roots of ax ^2 + bx + c=0, alpha 1 ,...

    Text Solution

    |

  12. The values of the parameter a for which the quadratic equatio...

    Text Solution

    |

  13. IF x^2+ ax +b, x^2 + cx +d has the common factor x-1 then a+...

    Text Solution

    |

  14. If ax ^2 + 2bx + c=0 , a 1x^2 + 2b 1 x + c1 =0 have a common ...

    Text Solution

    |

  15. IF ax^2 + 2bx +c=0 , and px^2 + 2 qx + r=0

    Text Solution

    |

  16. if P,q, r, s in R such that p r= 2 ( q+ s) then

    Text Solution

    |

  17. IF every pair from the equation x^2 +px +qr =0 , x^2 +qx + rp...

    Text Solution

    |

  18. IF the equation k ( 6 x^2 + 3) + rz + 2x^2 -1=0 and 6k ( 2 x^...

    Text Solution

    |

  19. The equation ax^2 + bx + a=0 (a ,b, in R ) and x^3 -2x^2+2x...

    Text Solution

    |

  20. The value of 'a' for which the equation x^3 + ax +1=0 and x^...

    Text Solution

    |