Home
Class 12
MATHS
If alpha, beta are the roots of ax^(2)+b...

If `alpha, beta` are the roots of `ax^(2)+bx+c=0` and `f(x)` is continuous at `x=alpha`, where `f(x)=(1-cos (ax^(2)+bx+c))/((x-alpha)^(2))`, for `x != alpha`, then `f(alpha)=`

A

0

B

`(4ac-b^(2))/(2)`

C

`(b^(2)-4ac)/(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos
  • DEFINITE INTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|243 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

Let alpha and beta be the distinct roots of ax^(2) + bx + c = 0 then underset(x to alpha)(Lt) (1 - cos (ax^(2) + bx + c))/((x - alpha)^(2)) equal to

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

Let alpha and beta be the distinct root of ax^(2) + bx + c=0 then lim_(x to 0) (1- cos (ax^(2)+ bx+c))/((x-alpha)^(2)) is equal to

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

If alpha. beta are roots of the equation ax^(2)+bx+c=0 and alpha-beta=alpha*beta then

If alpha, beta are roots of ax^(2)+bx+c=0 , then : int((x-alpha)(x-beta))/(ax^(2)+bx+c)dx=

If alpha,beta are the roots of ax^(2)+bx+c=0 then the value ((alpha)/(beta)-(beta)/(alpha))^(2) is ...

NIKITA PUBLICATION-CONTINUITY-MULTIPLE CHOICE QUESTIONS
  1. If the function f(x) {((1 - cos 4x)/(8x^(2))",",x !=0),(" k,",x...

    Text Solution

    |

  2. If f(x) = is continuous at x=0, where f(x)=((1-cos2x)(3+cos x))/(x t...

    Text Solution

    |

  3. If alpha, beta are the roots of ax^(2)+bx+c=0 and f(x) is continuous a...

    Text Solution

    |

  4. If f(x) is continuous at x=0, where f(x)={:{((cos^(2)x-sin^(2)x-1)/(s...

    Text Solution

    |

  5. If f(x) is continuous at x=a, where f(x)=(sin (a+x)+sin(a-x)-2 sin a)...

    Text Solution

    |

  6. If f(x) is continuous at x=0, where f(x)=(3-4cos x+cos 2x)/(x^(2)), f...

    Text Solution

    |

  7. If f(x) is continuous at x=0, where f(x)=(3-4cos x+cos 2x)/(x^(4)), f...

    Text Solution

    |

  8. The value of k which makes f(x)={:{(sin(1/x)", for " x!=0),(k", for "...

    Text Solution

    |

  9. If the function f(x) defined by f(x)={(x"sin"(1)/(x)",", "for "x ne ...

    Text Solution

    |

  10. If f(x) is continuous at x=a, where f(x)=(x-a)sin((1)/(x-a)), for x!=...

    Text Solution

    |

  11. If (x)=(1-sqrt3tanx)/(pi-6x),"for"x nepi/6 is continous at x=pi/6, "fi...

    Text Solution

    |

  12. If f(x) is continuous at x=pi/4, where f(x)=(tan(pi/4 -x))/(cot 2x), f...

    Text Solution

    |

  13. Find the value of k, if the functions are continuous at the points giv...

    Text Solution

    |

  14. If f(x) is continuous at x=pi/2, where f(x)=(1-sin x)/((pi/2 -x)^(2))...

    Text Solution

    |

  15. If f(x) is continuous at x=pi/2, where f(x)=(1-sin x)/((pi-2x)^(2)), ...

    Text Solution

    |

  16. If f(x)={{:((1-sinx)/(pi-2x),,","xne(pi)/(2)),(lambda,,","x=(pi)/(2)):...

    Text Solution

    |

  17. For what value of k, function f(x)={((k cosx)/(pi-2x)",","if "x ne (pi...

    Text Solution

    |

  18. If f(x) is contiuous at x= pi/2, where f(x)=(cosec x - sin x)/(pi/2 -...

    Text Solution

    |

  19. If f(x) is continuous at x = pi, where f(x)=(sqrt(2+cos x)-1)/((pi-x)...

    Text Solution

    |

  20. If f(x) is continuous at x=pi, where f(x)=(1- cos ( 7(x-pi)))/(5(x - ...

    Text Solution

    |