Limits and Differentiation Test

Result

Limits and Differentiation Test - 6

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Score
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Rank

Time Taken: -

Question 1/10
1 / -0

If gof is continuous, then

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A
a = 2, b = 0

Correct

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B
a = 0, b = 1

Correct

Wrong

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C
a = 1, b = 0

Correct

Wrong

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D
b = 1, a = 1

Solutions
Question 2/10
1 / -0

Correct

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A
a = 1 and b = -2

Correct

Wrong

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B
a = 1 and b = -1

Correct

Wrong

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C
a = -1 and b = 1

Correct

Wrong

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D
a = 2 and b = -2

Solutions
Question 3/10
1 / -0

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A
e⁴

Correct

Wrong

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B
e⁵

Correct

Wrong

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C
e³

Correct

Wrong

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D
None of these

Solutions
Question 4/10
1 / -0

Correct

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A

Correct

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B

Correct

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C

Correct

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D

Solutions
Question 5/10
1 / -0

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A
g(x) = x + 2

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B
g(x) = x² + 4

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C
g(x) = xh(x), where h(x) is a polynomial

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D
g(x) is a constant function

Solutions
Question 6/10
1 / -0

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A
2

Correct

Wrong

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B
4

Correct

Wrong

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C
6

Correct

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D
8

Solutions
Question 7/10
1 / -0

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A
1

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B
4

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C
2

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D
3

Solutions
Question 8/10
1 / -0

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B
f is continuous on [6, 10]

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C
f is continuous on [– 2, 2]

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D
f is continuous on [– 6, 6]

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E
f is continuous on [1, 7]

Solutions
Question 9/10
1 / -0

If f be a function on [0, 1] defined by f(x) = (1/2)ⁿ, (1/2)ⁿ ^{+ 1} ≤ x < (1/2)ⁿ, n = 0, 1, 2, …, then

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A
f is a continuous function

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B
f is continuous except for x = 1/2

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C
f is continuous except for finitely many points

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D
the set of points where f is not continuous is infinite

Solutions
Question 10/10
1 / -0

The function f(x) = [log (1 + ax) – log (1 – bx)]/x is not defined at x = 0. The value that should be assigned to f at x = 0, so that it is continuous at x = 0 is

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A
a – b

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B
a + b

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C
log a + log b

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D
None of these

Solutions

Question 1/10

a = 2, b = 0

a = 0, b = 1

a = 1, b = 0

b = 1, a = 1

Question 2/10

a = 1 and b = -2

a = 1 and b = -1

a = -1 and b = 1

a = 2 and b = -2

Question 3/10

e4

e5

e3

None of these

Question 4/10

Question 5/10

g(x) = x + 2

g(x) = x2 + 4

g(x) = xh(x), where h(x) is a polynomial

g(x) is a constant function

Question 6/10

2

4

6

8

Question 7/10

1

4

2

3

Question 8/10

f is continuous on [6, 10]

f is continuous on [– 2, 2]

f is continuous on [– 6, 6]

f is continuous on [1, 7]

Question 9/10

f is a continuous function

f is continuous except for x = 1/2

f is continuous except for finitely many points

the set of points where f is not continuous is infinite

Question 10/10

a – b

a + b

log a + log b

None of these

e⁴

e⁵

e³

g(x) = x² + 4