Home
Class 11
MATHS
If a,b,c epsilonQ then roots of the equa...

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

A

`a+b+c and a-b+c`

B

`(1)/(2) and a-2b + c`

C

`a-2b + c and (1)/(a+b-c)`

D

none of these

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

6.The roots of the equation (a-b+c)x^(2)+4(a-b)x+(a-b-c)=0 are

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

If a+b+c=0, a,b,c in Q then roots of the equation (b+c-a) x ^(2) + (c+a-c) =0 are: Rational Irrational Imaginary none of these .

The roots of the equation a(b-2c)x^(2)+b(c-2a)x+c(a-2b)=0 are, when ab+bc+ca=0

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

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

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

If a,b,c are in A.P. then the roots of the equation (a+b-c)x^2 + (b-a) x-a=0 are :

If a,b, cinR , show that roots of the equation (a-b)x^(2)+(b+c-a)x-c=0 are real and unequal,

If a lt c lt b then the roots of the equation (a−b)x^2 +2(a+b−2c)x+1=0 are

OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Exercise
  1. If a+b+c=0 then check the nature of roots of the equation 4a x^2+3b x+...

    Text Solution

    |

  2. If b gt a, then the equation (x-a)(x-b)-1=0 has (a) Both roots in (a...

    Text Solution

    |

  3. If a,b,c epsilonQ then roots of the equation (b+c-2a)x^(2)+(c+a-2b)x+(...

    Text Solution

    |

  4. If a,b,c are positive real numbers, then the number of real roots of t...

    Text Solution

    |

  5. Real roots of equation x^2 + 5 |x| + 4 = 0 are

    Text Solution

    |

  6. If aa n db(!=b) are the roots of the equation x^2+a x+b=0, then find t...

    Text Solution

    |

  7. If f(x) = (x^2 -2x + 4)/(x^2+2x+4), x in R then range of function is

    Text Solution

    |

  8. If a lt c lt b then the roots of the equation (a−b)x^2 +2(a+b−2c)x+1=0...

    Text Solution

    |

  9. If alpha, beta are the roots of the quadratic equation x^2 + bx - c = ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. The expression y = ax^2+ bx + c has always the same sign as of a if (A...

    Text Solution

    |

  13. If alpha,betaa n dgamma are the roots of x^2+8=0 then find the equatio...

    Text Solution

    |

  14. Given that a x^2+b x+c=0 has no real roots and a+b+c<0, then c!=0 b. c...

    Text Solution

    |

  15. If x in R, then the expression 9^(x) - 3^(x) + 1 assumes

    Text Solution

    |

  16. The values of 'a' for which the roots of the equation x^(2) + x + a = ...

    Text Solution

    |

  17. Let alpha,beta are the roots of x^2+b x+1=0. Then find the equation wh...

    Text Solution

    |

  18. The roots alpha, beta and gamma of an equation x^(3) - 3 a x^(2) + 3 b...

    Text Solution

    |

  19. If b and c are odd integers, then the equation x^2 + bx + c = 0 has-

    Text Solution

    |

  20. If the equations a x^2+b x+c=0 and x^3+3x^2+3x+2=0 have two common roo...

    Text Solution

    |