Home
Class 12
MATHS
Let alpha and beta be the distinct roots...

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

A

`( a^(2))/( 2) ( alpha - beta )^(2)`

B

0

C

` (- a^(2))/( 2) ( alpha - beta )^(2)`

D

`(1)/(2) ( alpha - beta)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    MOTION|Exercise EXERCISE-3|57 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -4 Level -II|7 Videos
  • MATRICES

    MOTION|Exercise Exercise - 4 (Level-II)|28 Videos

Similar Questions

Explore conceptually related problems

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 distinct roots of x^(2)+bx+c=0 , then lim_(x to beta)(e^(2(x^(2)+bx+c))-1-2(x^(2)+bx+c))/((x-beta)^(2)) is equal to

let alpha and beta be the roots of ax^(2)+bx+c then fin the value of (1)/(alpha)-(1)/(beta)

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

if alpha and beta are the roots of ax^(2)+bx+c=0 then the value of {(1)/(a alpha+b)+(1)/(a beta+b)} is

Ifa alpha and beta be the roots of ax^(2)+bx+c=0, then lim_(x rarr alpha)(1+ax^(2)+bx+c)^((1)/(x-a)) is equal to

MOTION-LIMIT-EXERCISE-4
  1. Let alpha and beta be the distinct roots of ax^(2) + bx + c = 0 then u...

    Text Solution

    |

  2. underset( x rarr 2 ) ( "lim") (( sqrt( 1- cos { 2 ( x - 2)}))/( x - 2...

    Text Solution

    |

  3. underset( x rarr 0 ) ( "lim")( (1- cos 2x) ( 3 + cos x ))/( x tan 4x) ...

    Text Solution

    |

  4. (lim)(xvec0)(sin(picos^2x))/(x^2) is equal to (1) pi/2 (2) 1 (3) ...

    Text Solution

    |

  5. Let p = underset( x to 0^(+)) lim(1 + tan^(2) sqrt(x))^(1//2x) , th...

    Text Solution

    |

  6. lim(x->pi/2)(cotx-cosx)/((pi-2x)^3)

    Text Solution

    |

  7. For each t in R let [t] be the greatest integer less than or equal to ...

    Text Solution

    |

  8. For x gt 0 , underset( x rarr 0) ( "Lim") [ ( sin x)^(1//x) + ((1)/( x...

    Text Solution

    |

  9. Let L = lim(x rarr 0) ( a - sqrt( a^2 - x^2) - x^2/4)/x^4, a>0.If L is...

    Text Solution

    |

  10. If underset( x to 0) lim [1+x log (1+b^(2))]^(1/x) = 2b sin^(2) the...

    Text Solution

    |

  11. If underset( x rarr oo) ( "lim") (( x^(2) + x+ 1)/(x+1) -ax -b) = 4, t...

    Text Solution

    |

  12. Let alpha(a) and beta(a) be the roots of the equation {(a+1)^(1//3)-1}...

    Text Solution

    |

  13. The largest value of non-negative integer a for which underset( x rarr...

    Text Solution

    |

  14. Let m and n be the two positive integers greater than 1 . If underset(...

    Text Solution

    |

  15. Let alpha, beta in R such that lim(x ->0) (x^2sin(betax))/(alphax-sin...

    Text Solution

    |

  16. Let f(x) = ((1 - x(1+ |1-x | )) /(|1-x|)) cos(1/(1-x)) for x!=1

    Text Solution

    |

  17. Let f: R rarr R be a differentiable function with f(0)=0. If y=f(x) ...

    Text Solution

    |