Home
Class 12
MATHS
If alpha,beta are the roots of the equat...

If `alpha,beta` are the roots of the equation `ax^2+bx+c=0`, then `lim_(xtoalpha)(ax^2+bx+c+1)^(1//x-alpha) ` is equal to

A

`2a(alpha-beta)`

B

`2log [a(alpha-beta)]`

C

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

D

`e^(a^(2)|alpha-beta|)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise PROBLEM SET (1) (TRUE AND FALSE) |4 Videos

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise PROBLEM SET (1) (FILL IN THE BLANKS) |7 Videos

  • INVERSE CIRCULAR FUNCTIONS

    ML KHANNA|Exercise Self Assessment Test|25 Videos

  • LINEAR PROGRAMMING

    ML KHANNA|Exercise Self Assessment Test|8 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta are the roots of the equation ax^2+bx+c=0 , then lim_(xrarralpha)(ax^2+bx+c+1)^(1//x-alpha) is equal to

If alpha and beta are roots of the equation ax^2+bx +c=0 , then lim_(xrarralpha) (1+ax^2+bx+c)^(1//x-alpha) , is

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

If alpha,beta are the roots of the equation ax^(2)+bx+c=0, then (alpha)/(alpha beta+b)+(beta)/(a alpha+b) is equal to -

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

If alpha,beta are the roots of the equation ax^(2)+bx+c=0 then log(a-bx+cx^(2)) is equal to

If alpha and beta are the roots of the equation ax^(2)+bx+c=0" then "int((x-alpha)(x-beta))/(ax^(2)+bx+c)dx=

If alpha& beta are the roots of the equation ax^(2)+bx+c=0, then (1+alpha+alpha^(2))(1+beta+beta^(2))=