Home
Class 11
MATHS
If f(x)={{:(2a-x","" for "-altxlta),(...

If `f(x)={{:(2a-x","" for "-altxlta),(3x-2a","" for "xgea):}` then which of the following is true?

A

f(X) is not differentiable at x=a

B

f(x) is discontinous at x=a

C

f(x) is continuous for all x in R

D

f(x) is differentiable for all `xgea`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER -19

    FULL MARKS|Exercise SAMPLE PAPER UNSOLVED-19(II)|9 Videos
  • SAMPLE PAPER -19

    FULL MARKS|Exercise SAMPLE PAPER UNSOLVED-19(III)|10 Videos
  • SAMPLE PAPER -17

    FULL MARKS|Exercise PART -IV|7 Videos
  • SAMPLE PAPER -5

    FULL MARKS|Exercise PART-I (CHOOSE THE CORRECT ANSWER)|2 Videos

Similar Questions

Explore conceptually related problems

If f(x) = {{:(2a-x, "for",-a lt x lt a),(3x-2a ,"for", x ge a):} , then which one of the following is true?

Let f(x) = |x-1| , then which of the following is true

If f(x)={{:(x^(3)(1-x)",",xle0),(xlog_(e)x+3x",",xgt0):} then which of the following is not true?

Let f(x)=x-(1)/(x) then which one of the following statements is true?

f(x)=|x^2-3|x|+2|dot Then which of the following is/are true

If x^2 + 2x + n gt 10 for all real number x, then which of the following conditions is true ?

Consider the function f(x) = In(sqrt(1-x^2)-x) then which of the following is/are true?

Let f(x)={x^2-4x+3,x<3x-4,xgeq3 a n dg(x)={x-3,x<4x^2+2x+2,xgeq4 then which of the following is/are true? (a) (f+g)(3. 5)=0 (b) f(g(3))=3 (c) (fg)(2)=1 (d) (f-g)(4)=0