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

If `alpha, beta` are the roots of the equation `(x-a)(x-b)=c,c!=0`. Find the roots of the equation `(x-alpha)(x-beta+c=0`

A

a,c

B

b,c

C

a,b

D

a+c, b+c

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS & INEQUATIONS

    VMC MODULES ENGLISH|Exercise Numerical value type of JEE Main|15 Videos

  • QUADRATIC EQUATIONS & INEQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Main ( Archive )|20 Videos

  • QUADRATIC EQUATIONS & INEQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advance ( Archive )|20 Videos

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos

  • QUIZ

    VMC MODULES ENGLISH|Exercise MATHEMATICS|30 Videos

Similar Questions

Explore conceptually related problems

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 c. a , b d. a+c , b+c

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 alpha,beta be the roots of the equation (x-a)(x-b)+c=0(c!=0), then the roots of the equation (x-c-alpha)(x-c-beta)=c are aa n db+c (b) a+ba n db a+ca n db+c (d) a-ca n db-c

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

Let alpha, and beta are the roots of the equation x^(2)+x +1 =0 then

If alpha, beta are the roots of the equations x^2+px+q=0 then one of the roots of the equation qx^2-(p^2-2q)x+q=0 is (A) 0 (B) 1 (C) alpha/beta (D) alpha beta

If alpha and beta are roots of the equation a x^2+b x+c=0, then the roots of the equation a(2x+1)^2+b(2x+1)(x-3)+c(x-3)^2=0 are a. (2alpha+1)/(alpha-3),(2beta+1)/(beta-3) b. (3alpha+1)/(alpha-2),(3beta+1)/(beta-2) c. (2alpha-1)/(alpha-2),(2beta+1)/(beta-2) d. none of these

If alphaa n dbeta are roots of the equation a x^2+b x+c=0, then the roots of the equation a(2x+1)^2-b(2x+1)(3-x)+c(3-x)^2=0 are (2alpha+1)/(alpha-3),(2beta+1)/(beta-3) b. (3alpha+1)/(alpha-2),(3beta+1)/(beta-2) c. (2alpha-1)/(alpha-2),(2beta+1)/(beta-2) d. none of these

VMC MODULES ENGLISH-QUADRATIC EQUATIONS & INEQUATIONS -LEVEL -2
  1. If b gt a, then the equation (x-a)(x-b)-1=0 has (a) Both roots in (a...

    Text Solution

    |

  2. which of the following graph represents the expression f(x) = ax^2 + b...

    Text Solution

    |

  3. If alpha, beta are the roots of the equation (x-a)(x-b)=c,c!=0. Find t...

    Text Solution

    |

  4. Let alpha ,beta " be the roots of " ax^(2) +bx + c= 0, gamma, detla ...

    Text Solution

    |

  5. If b1. b2=2(c1+c2) then at least one of the equation x^2+b1x+c1=0 and ...

    Text Solution

    |

  6. If alpha , beta are roots of ax^(3) +bx +c=0 then the equation ax^...

    Text Solution

    |

  7. If a gt 1 , then the roots of the equation (1-a)x^(2)+3ax-1=0 are

    Text Solution

    |

  8. The polynomiaal (a x^2+b x+c)(a x^2-dx-c), a c!=0 has

    Text Solution

    |

  9. If the equation ax^(2)+2bx-3c=0 has no real roots and ((3c)/(4))lta+b,...

    Text Solution

    |

  10. If a(p+q)^2+2b p q+c=0 and a(p+r)^2+2b p r+c=0 (a!=0) , then which one...

    Text Solution

    |

  11. If alpha and beta(alpha lt beta) are the roots of the equation x^(2)+b...

    Text Solution

    |

  12. The number of real solutions of the equation (9//10)^x=-3+x-x^2 is

    Text Solution

    |

  13. If the roots of a1x^(2)+b1x+c1=0 and alpha1 , beta1 and those of a2...

    Text Solution

    |

  14. If b^2>4ac, then a(x^2 +4x+4)^2+b(x^2 +4x +4)+c=0 has distinct real ...

    Text Solution

    |

  15. If ( lambda^(2) + lambda - 2)x^(2)+(lambda+2)x lt 1 for all x in R ,...

    Text Solution

    |

  16. The value of k for which the equation (k-2) x^(2) + 8x + k + 4 = 0 has...

    Text Solution

    |

  17. For all x in R if mx^(2) - 9mx + 5m + 1 gt 0 , then m lies in the in...

    Text Solution

    |

  18. The quadratic equations x^2""-6x""+""a""=""0""a n d ""x^2""-c x""+""...

    Text Solution

    |

  19. If roots of ax^2+bx+c=0 are equal in magnitude but opposite in sign, t...

    Text Solution

    |

  20. If alpha ne beta but alpha^(2)= 5 alpha - 3 and beta ^(2)= 5 beta...

    Text Solution

    |