Home
Class 12
MATHS
If x^(2)+ax+10=0and x^(2)+bx-10=0 have c...

If `x^(2)+ax+10=0and x^(2)+bx-10=0` have common root, then `a^(2)-b^(2)` is equal to

A

10

B

20

C

30

D

40

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

If x^2+a x+10=0 and x^2+b x-10=0 have common root, then a^2-b^2 is equal to 10 (b) 20 (c) 30 (d) 40

If x^(2)+ax+b=0 and x^(2)+bx+a=0,(a ne b) have a common root, then a+b is equal to

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

If the equations ax^2 + bx + c = 0 and x^2 + x + 1= 0 has one common root then a : b : c is equal to

If the quadratic equation 3x^(2) + ax+1=0 and 2x^(2) + bx+1=0 have a common root , then the value of the expression 5ab-2a^(2)-3b^(2) is

If the equations 2x^(2)-7x+1=0 and ax^(2)+bx+2=0 have a common root, then

If the equation x^2+ax+12=0 , x^2 +bx +15 =0 and x^2 +(a+ b) x+ 36 =0 have a common positive root, then b- 2a is equal to

If the equation x ^(2) +ax+12 =9, x ^(2) +bx +15 =0 and x^(2) + (a+b) x +36=0 have a common positive root, then b+2a equal to.

If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a common root, then a : b : c

If x^(2) + ax + b = 0, x^(2) + bx + a = 0 ( a != 0 ) have a common root, then a + b =

RESONANCE ENGLISH-DPP-QUESTION
  1. A quadratic equation f(x)=a x^2+b x+c=0 has positive distinct roots re...

    Text Solution

    |

  2. All the values of ' a ' for which the quadratic expression a x^2+(a-2)...

    Text Solution

    |

  3. If x^(2)+ax+10=0and x^(2)+bx-10=0 have common root, then a^(2)-b^(2) i...

    Text Solution

    |

  4. The least integral value of ' a ' for which the graphs y=2a x+1 and y=...

    Text Solution

    |

  5. If the quadratic equation alpha x^2 +beta x+a^2+b^2+c^2-ab-bc-ca=0 has...

    Text Solution

    |

  6. Let x=sqrt(3-sqrt5) and y=sqrt(3+sqrt5) If the value of the expression...

    Text Solution

    |

  7. If a gt b gt 0 are two real numbers, the value of, sqrt(ab+(a-b)sqrt(...

    Text Solution

    |

  8. Consider the equation log(5)[(2+sqrt5)^(x)+(sqrt5-2)^(x)]=1/2-log(1//5...

    Text Solution

    |

  9. lf sum of maximum and minimum value of y = log2(x^4+x^2+1) - log2 (x^4...

    Text Solution

    |

  10. Find the sum of all the real solution (s) to the equation (x+y)^(2)=(x...

    Text Solution

    |

  11. If x^2 + 2(a-1)x + a + 5 = 0 has real roots belonging to the interval ...

    Text Solution

    |

  12. lf alpha and beta are the roots of the equation x^2-ax + b = 0 and ...

    Text Solution

    |

  13. Let r ,s ,a n dt be the roots of equation 8x^2+1001 x+2008=0. Then fin...

    Text Solution

    |

  14. The set of all values of ' a ' for which the quadratic equation 3x^2+2...

    Text Solution

    |

  15. If b^(2)ge4ac for the equation ax^(4)+bx^(2)+c=0 then all the roots of...

    Text Solution

    |

  16. If the tan theta and sec theta are roots of the equation ax^(2)+bx+c=0...

    Text Solution

    |

  17. Consider a quadratic equation ax^(2)+bx+c=0"where"a,b,c inR and a ne 0...

    Text Solution

    |

  18. All the roots of x^(3)+ax^(2)+bx+c are positive integers greater than ...

    Text Solution

    |

  19. The roots alpha and beta of the quadratic equation ax^(2)+bx+c=0 are a...

    Text Solution

    |

  20. The quadratic equation x^(2)-9x+3=0 has roots alpha and beta.If x^(2)-...

    Text Solution

    |