Home
Class 12
MATHS
f(x)=2a-x in -altxlta=3x-2a in a lex. ...

`f(x)=2a-x` in `-altxlta=3x-2a` in `a lex`. Then which of the following is true ?

A

f(x) is differentiable at all `xgea`

B

f(x) is continuous at all `xlta`

C

f(x) is discontinuous at x=a

D

f(x) is not differentiable at x=a

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2007

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|59 Videos

  • KARNATAKA CET 2009

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

f(x) = {(2a-x", when" a lt x lt a),(3x-2a ", when " a le x):} . Then which of the following is true?

If f(x)=e^(x)andg(x)=loge^(x) , then which of the following is TRUE ?

If f(x ) e^(x ) and g(x ) = log e^(x ) then which of the following is TRUE ?

Observe the following statements A : int (((x^(2)-1)/(x^(2))).e^((x^(2)+1/x)) dx = e^((x^(2)+1)/x) + c R: int f^(')(x).e^(f(x)) dx = f(x) + c Then which of the following is true?

Observe the following statements: A : f(x) = 2x^(3)-9x^(2)+12x-3 is increasing outside (1,2) R : f^(')(x) lt 0 for x in (1,2) Then which of the following is true?

Let f: R to R be a function defined by : f(x)="Min".{x+1,|x|+1} . Then which of the following is true ?

If f(x)= e^(x) and g(x)= log^(e^(x)) then which of the following is TRUE

If f(x) = 2x and g(x) = x^(2)/2 +1 , then which of the following can be discontinuous function

If f(x) = 2x^(3)-21x^(2)+36x-30 , then for f(x) which one of the following is correct?