Home
Class 12
MATHS
If f(x)=(x^2-10x+25)/(x^2-7x+10) for x!=...

If `f(x)=(x^2-10x+25)/(x^2-7x+10)` for `x!=5` is continuous at `x=5` then `f(5)=`

A

0

B

5

C

10

D

25

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CONTINUITY

    TARGET PUBLICATION|Exercise Competitive Thinking|63 Videos

  • CONTINUITY

    TARGET PUBLICATION|Exercise Evaluation Test|10 Videos

  • CONTINUITY

    TARGET PUBLICATION|Exercise Evaluation Test|10 Videos

  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

Similar Questions

Explore conceptually related problems

If f(x)=(x^(2)-bx+25)/(x^(2)-7x+10) for x!=5 and f is continuous at x=5 then f(5)=

If f(x)=[(|x^(2)-5x+6|)f or x<2 and ax-bf or x<=2 continuous at x=2, then the values of 'a'&'b' can not be

Knowledge Check

  • If f(x) = (x^(2)-4x+3)/(3x^(2)-10x+3), x!= 3 is continuous at x = 3 , then f(3) = ….

    A
    `-4`
    B
    `1/4`
    C
    `-1/4`
    D
    4

  • f(x)=10x^(2)-20x+5

    A
    `I_(1)=(1, infty),I_(2)=(-infty,1)`
    B
    `I_(1)=(-1,2),I_(2)=(2, infty)`
    C
    `I_(1)=(-4,1)I_(2)=(1,infty)`
    D
    none of thses

  • If f(x) (10^(x)+7^(x)-14^(x)-5^(x))/(1-cos x), x != 0 is continuous at x = 0 , then f(0) = …

    A
    2 log 7
    B
    `2 log (10/7)`
    C
    `log(4)log (5/7)`
    D
    log 70

    • Similar Questions

    Explore conceptually related problems

    If f(x)=(x-1)/(2x^(2)-7x+5) for x!=1 and f(x)=-(1)/(3) for x=1 then f'(1)=

    f(x)={{:((x^(2)-25)/(x-5)",","when",x ne 5),( 10",", "when",x=5):} is continuous at x =5

    f(x)=(x sin 6x)/(tan 5x tan 7x) " for " x!=0, is continuous at x = 0 if f(0) = ….

    If f(x)= x^2+7x+10 then f(2) =?

    Value of f(-2), if f(x) = (x^(3)+8)/(x^(5)+32) is continuous at x = -2 is

    Home
    Profile