Home
Class 11
MATHS
If alpha, beta are roots of ax^(2) + bx...

If `alpha, beta ` are roots of `ax^(2) + bx +c =0,` then the equatin whose roots are `2+ alpha, 2 +beta,` is

A

`ax^(2) + x(4a -b) + 4a - 2 b + c = 0`

B

`ax^(2) + x(4 a - b) + 4a + 2b + c = 0`

C

`ax^(2) + x(b-4a) + 4a + 2b + c = 0`

D

`ax^(2) + x(b - 4a) + 4a - 2b + c = 0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS AND EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|50 Videos

  • QUADRATIC EXPRESSIONS AND EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|22 Videos

  • PROBABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|45 Videos

  • SEQUENCES AND SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|59 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta are the roots of ax^2 + bx + c = 0, the equation whose roots are 2 + alpha, 2 + beta is

If alpha, beta are roots of the equation ax^2 + bx + c = 0 then the equation whose roots are 2alpha + 3beta and 3alpha + 2beta is

If alpha, beta are the roots of x^(2) + bx-c = 0 , then the equation whose roots are b and c is

Assertion (A) : If alpha, beta are the roots of ax^(2) + bx + c = 0 then the equation whose roots are (alpha-1)/(alpha), (beta-1)/(beta) is c(1-x)^(2)+ b(1-x)+a=0 Reason (R): If alpha, beta are the roots of f(x) = 0 then the equation whose roots are (alpha-1)/(alpha) and (beta-1)/(beta) is f((1)/(1-x))=0

If alpha, beta are the roots of x^(2)+2x-1=0 , then the equation whose roots are alpha^(2), beta^(2) is

If alpha, beta are roots of the equation x^(2) + x + 1 = 0 , then the equation whose roots are (alpha)/(beta) and (beta)/(alpha) , is

If alpha, beta are the roots of x^(2)+6x+9=0 , then the equation whose roots are (1)/(alpha), (1)/(beta) is

If alpha, beta are the roots of x^(2)+x+1=0 , then the equation whose roots are alpha^(5), beta^(5) is

If alpha, beta are the roots of ax^(2) + bx + c = 0 , then find the quadratic equation whose roots are alpha + beta, alpha beta .

If alpha, beta are the roots of x^(2)+3x+1=0 , then the equation whose roots 2-alpha, 2-beta is

OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Exercise
  1. If the roots of the equation a(b - c)^(2) + b (c - a) x + c (a - b) =...

    Text Solution

    |

  2. If 7^(log 7(x^(2)-4x + 5))=x - 1, x may have values

    Text Solution

    |

  3. If alpha, beta are roots of ax^(2) + bx +c =0, then the equatin whose...

    Text Solution

    |

  4. For the equation |x^2|+|x|-6=0 , the sum of the real roots is 1 (b) 0...

    Text Solution

    |

  5. Q. Two students while solving a quadratic equation in x, one copied th...

    Text Solution

    |

  6. If 8, 2 are roots of the equation x^2 + ax + beta and 3, 3 are roots o...

    Text Solution

    |

  7. If one root of x^(2) - x - k = 0 is square of the other, then k =

    Text Solution

    |

  8. If a and b are the odd integers, then the roots of the equation, 2ax^2...

    Text Solution

    |

  9. Find the values of p for which both the roots of the equation 4x^2 - 2...

    Text Solution

    |

  10. The value of 'c' for which |alpha^(2) - beta^(2)| = 7//4, where alpha ...

    Text Solution

    |

  11. The value of m for which one of the roots of x^(2) - 3x + 2m = 0 is do...

    Text Solution

    |

  12. The equations ax^(2) + bz + a =0, x^(3) -2x^(2) +2x -1 =0 have tow roo...

    Text Solution

    |

  13. The graph of the function y=16x^2+8(a+5)x-7a-5 is strictly above the x...

    Text Solution

    |

  14. Solve for x :(5+2sqrt(6))^(x^2-3)+(5-2sqrt(6))^(x^2-3)=10.

    Text Solution

    |

  15. The number of real roots of the equation 2x^(4) + 5x^(2) + 3 = 0, is

    Text Solution

    |

  16. If x, a, b, c are real and (x-a+b)^(2)+(x-b+c)^(2)=0, then a, b, c are...

    Text Solution

    |

  17. If the roots of the equation (a^2+b^2)x^2-2b(a+c)x+(b^2+c^2)=0 are e...

    Text Solution

    |

  18. If a, b,c are all positive and in HP, then the roots of ax^2 +2bx +c=0...

    Text Solution

    |

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

    Text Solution

    |

  20. If the roots of the equation x^2+2a x+b=0 are real and distinct and th...

    Text Solution

    |