Home
Class 12
MATHS
If alpha and beta (alpha lt beta) are tw...

If `alpha` and `beta` `(alpha lt beta)` are two different real rootsof the equation `ax^2 + bx+c= 0`, then

A

`alphagt-b/(2a)`

B

`betalt-b/(2a)`

C

`alphalt-b/(2a)ltbeta`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|161 Videos
  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos
  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta(alpha

If alpha beta( alpha lt beta) are two distinct roots of the equation. ax^(2)+bx+c=0 , then

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

Let alpha and beta (a lt beta) " be the roots of the equation " x^(2) + bx + c = 0," where " b gt 0 and c lt 0 . Consider the following : 1. alpha + beta + alpha beta gt 0 2. alpha^(2) beta + beta ^(2) alpha gt 0 Which of the above is//are correct ?

If alpha and beta(alpha

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

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-EVALUATION TEST
  1. If 27a+9b+3c+d=0 then the equation 4ax^(3)-3bx^(2)+2cx+0 has at leat ...

    Text Solution

    |

  2. If the curve y=x^(2)+bx +c touches the line y = x at the point (1,1),...

    Text Solution

    |

  3. A tangent to the parabola y^2=8x makes an angle of 45^0 with the strai...

    Text Solution

    |

  4. The greatest value of the function f(x)=tan^(- 1)x-1/2logx in [1/(sqrt...

    Text Solution

    |

  5. IF alpha+beta=pi/2, then cosalpha cos beta has a maximum value at beta...

    Text Solution

    |

  6. Prove that the segment of the tangent to the hyperbola y = (c )/(x) w...

    Text Solution

    |

  7. If 2a+3b+6c=0, then prove that at least one root of the equation a x^2...

    Text Solution

    |

  8. The maximum value of f(x)=sinx(1+cosx) is

    Text Solution

    |

  9. The minimum value of f(x)=sin^4x+cos^4x,0lexlepi/2 is

    Text Solution

    |

  10. The minimum value of 2^(x^2-3)^(3+27) is 2^(27) (b) 2 (c) 1 (d) ...

    Text Solution

    |

  11. If the function f(x)=3 cos |x| -6 ax +b increases for all x in R then ...

    Text Solution

    |

  12. The minimum value of a^2sec^2x+b^2cosec^2x,0ltaltb,is

    Text Solution

    |

  13. The function y=(ax+b)/(x-1)(x-4) has turning point at P(2,-1) Then fin...

    Text Solution

    |

  14. if 0ltalphaltbetaltpi/2 , then

    Text Solution

    |

  15. The two curves y=3^x and y=5^xintersect at an angle

    Text Solution

    |

  16. If alpha and beta (alpha lt beta) are two different real rootsof the e...

    Text Solution

    |

  17. The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in

    Text Solution

    |

  18. If the function f(x)=x^3-12ax^2+36a^2x-4(agt0) attains its maximum a...

    Text Solution

    |

  19. Verify Rolle's theorem for each of the following functions : f(x) = ...

    Text Solution

    |

  20. The abscissa of the point on the curve ay^2 = x^3, the normal at whic...

    Text Solution

    |