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CONTINUITY AND DIFFERENTIABILITY

Question - 75 Maximum mark : - 75

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CONTINUITY AND DIFFERENTIABILITY Online Mock Tests
CONTINUITY AND DIFFERENTIABILITY

1.

The function

is

Continuous at

✘ Discontinuous at

✘ Not defined at

✘ None of the above ✔ NULL ✔ NULL NULL

Answer & Solution Discuss in Board Save for Later

Answer & Solution

Answer: Option B

Solution:

It provides fallback for IE8.

2.

If

for all

and

, then

equals

12 ✘ 9 ✘ 16 ✘ 6 ✔ NULL ✔ NULL NULL

Answer & Solution Discuss in Board Save for Later

Answer & Solution

Answer: Option B

Solution:

It provides fallback for IE8.

3.

If

, then

equals

✘

for

and

for

✘

for

and

for

✘

for

and

for

✔ NULL ✔ NULL NULL

Answer & Solution Discuss in Board Save for Later

Answer & Solution

Answer: Option B

Solution:

It provides fallback for IE8.

4.

If the function

is continuous at

, then the value of

is

1 ✘ $\small \frac{1}{2}$ ✘ -1 ✔ NULL ✔ NULL NULL

Answer & Solution Discuss in Board Save for Later

Answer & Solution

Answer: Option B

Solution:

It provides fallback for IE8.

5.

Function

is

Differentiable everywhere in

✘ Except

and

differentiable everywhere in

✘ Not continuous at

and

✘ Increasing in

✔ NULL ✔ NULL NULL

Answer & Solution Discuss in Board Save for Later

Answer & Solution

Answer: Option B

Solution:

It provides fallback for IE8.

6.

The set of points where the function

is differentiable is

✘

✘

✘ None of these ✔ NULL ✔ NULL NULL

Answer & Solution Discuss in Board Save for Later

Answer & Solution

Answer: Option B

Solution:

It provides fallback for IE8.

7.

If

, then the value of function at

, so that the function is continuous at

is

1 ✘

✘ Indeterminate ✔ NULL ✔ NULL NULL

Answer & Solution Discuss in Board Save for Later

Answer & Solution

Answer: Option B

Solution:

It provides fallback for IE8.

8.

The value of

so that the function

is continuous everywhere, is given by

✘ 1 ✘ 26 ✘ None of these ✔ NULL ✔ NULL NULL

Answer & Solution Discuss in Board Save for Later

Answer & Solution

Answer: Option B

Solution:

It provides fallback for IE8.

9.

The derivative of

at

is

✘ Does not exist ✘ None of these ✔ NULL ✔ NULL NULL

Answer & Solution Discuss in Board Save for Later

Answer & Solution

Answer: Option B

Solution:

It provides fallback for IE8.

10.

If

is continuous function at

, then the value of

is equal to

3 ✘ 1 ✘ 2 ✘ NULL ✔ NULL NULL

Answer & Solution Discuss in Board Save for Later

Answer & Solution

Answer: Option B

Solution:

It provides fallback for IE8.

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