Home
Class 11
MATHS
If aa n db(!=b) are the roots of the equ...

If `aa n db(!=b)` are the roots of the equation `x^2+a x+b=0,` then find the least value of `x^2+a x+b(x in R)dot`

A

`(2)/(3)`

B

`(9)/(4)`

C

`-(9)/(4)`

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
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 a and b(!=0) are the roots of the equation x^2+a x+b=0, then find the least value of x^2+a x+b(x in R)dot

If a and b(!=0) are the roots of the equation x^2+ax+b=0 then the least value of x^2+ax+b is

If x=2/3 and x=-3 are the roots of the equation a x^2+7x+b=0, find the values of a and b dot

If a\ a n d\ b are roots of the equation x^2-p x+q=0 ,then write the value of 1/a+1/bdot

If a\ a n d\ b are roots of the equation x^2-x+1=0 then write the value of a^2+b^2dot

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

Let aa n db be the roots of the equation x^2-10 c x-11 d=0 and those of x^2-10 a x-11 b=0a r ec ,d then find the value of a+b+c+d when a!=b!=c!=d

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

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

In a A B C , if sinAa n dsinB are the roots of the equation c^2x^2-c(a+b)x+a b=0, then find sin c

OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Exercise
  1. If a,b,c are positive real numbers, then the number of real roots of t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If both the roots of the equation ax^(2) + bx + c = 0 are zero, then

    Text Solution

    |

  19. If alpha, beta , gamma, delta are the roots of the equation x^4+x^2+1=...

    Text Solution

    |

  20. The number of real roots of (x+1/x)^3+x+1/x=0 is

    Text Solution

    |