If f (x)= tan ^(-1) (sgn (x ^(2) -lamda ...

If `f (x)= tan ^(-1) (sgn (x ^(2) -lamda x+1))` has exactly one point of discontinuity, then the value of `lamda ` can be:

A

1

B

`-1`

C

2

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:

C, D

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Knowledge Check

If f (x)= tan ^(-1) (sgn (n ^(2) -lamda x+1)) has exactly one point of discontinuity, then the value of lamda can be:

A

1

B

`-1`

C

2

D

`-2`

If f(x)={([x]+[-x],"when x"ne2),(lamda,"when x"=2):} and it is continuous at x=2, then the value of lamda will be

A

`-1`

B

1

C

0

D

2

If f(x) = sgn (x) and g (x) = (1-x^2) ,then the number of points of discontinuity of function f (g (x)) is -

A

exact two

B

exactly three

C

finite and more than 3

D

infinitely many

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