Home
Class 12
MATHS
If alpha,beta are the roots of the equat...

If `alpha,beta` are the roots of the equation `ax^2 + bx+c=0` then the roots of the equation `(a + b + c)x^2-(b + 2c)x+c=0` are (a) `c` (b) `d-c` (c) `2c` (d) 0

A

`(alpha+1)/(alpha),(beta+1)/(beta)`

B

`(alpha-1)/(alpha),(beta-1)/(beta)`

C

`(alpha)/(alpha+1),(beta)/(beta+1)`

D

`(alpha)/(alpha-1),(beta)/(beta-1)`

Text Solution

Verified by Experts

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

Let alpha,beta be the roots of the quadratic equation ax^2+bx+c=0 then the roots of the equation a(x+1)^2+b(x+1)(x-2)+c(x-2)^2=0 are:-

If alpha, beta are the roots of the equation ax^(2) -bx +c=0 then equation (a+cy)^(2) =b^(2) y has the roots

If alpha, beta are the roots of the equation ax^(2) +2bx +c =0 and alpha +h, beta + h are the roots of the equation Ax^(2) +2Bx + C=0 then

If alpha,beta are the roots of the equation a x^2+b x+c=0, then find the roots of the equation a x^2-b x(x-1)+c(x-1)^2=0 in term of alpha and betadot

If alpha, beta be the roots of the equation ax^(2)+bx+c=0 , then the roots of the equation ax^(2)+blambda x+c lambda^(2)=0 , lambda^(2) !=0 , are

If alpha,beta are the roots of the equation a x^2+b x+c=0, then find the roots of the equation a x^2-b x(x-1)+c(x-1)^2=0 in term of alphaa n dbetadot

Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0 Then the roots of the equation (x-alpha)(x-beta)+c=0 are a ,c (b) b ,c a ,b (d) a+c ,b+c

If the roots of the equation x^2+a x+b=0 are c and d , then roots of the equation x^2+(2c+a)x+c^2+a c+b=0 are a c b. d-c c. 2c d. 0

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

if alpha&beta are the roots of the quadratic equation ax^2 + bx + c = 0 , then the quadratic equation ax^2-bx(x-1)+c(x-1)^2 =0 has roots

RESONANCE ENGLISH-DPP-QUESTION
  1. The number of integral values of 'm' less than 50, so that the roots o...

    Text Solution

    |

  2. If P(x)=ax^(2)+bx+c and Q(x)=-ax^(2)+dx+c where ac!=0 then P(x)Q(x)=0 ...

    Text Solution

    |

  3. If alpha,beta are the roots of the equation ax^2 + bx+c=0 then the roo...

    Text Solution

    |

  4. If ""(alpha)and (beta) are the roots of equation x^(2)-3x+1=0and a(n)=...

    Text Solution

    |

  5. A quadratic equation f(x)=a x^2+b x+c=0 has positive distinct roots re...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |