Mathematics Test

Result

Mathematics Test - 16

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Score
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Rank

Time Taken: -

Question 1/10
1 / -0

The sides of the rectangle of the greatest area, that can be inscribed in the ellipse x² + 2y²= 8, are given by

Correct

Wrong

Skipped
A
4√2,4

Correct

Wrong

Skipped
B
4,2√2

Correct

Wrong

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C
2,√2

Correct

Wrong

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D
2√2,2

Solutions
Question 2/10
1 / -0

(1) f(x) has one point of inflexion.

(2) g(x) has one point of inflexion.

(3) f(x) has one point of local minima.

(4) g(x) has one point of local maxima.

Which one of the following is correct regarding the above statements?

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Wrong

Skipped
A

(1) is true.
(2) is false.

Correct

Wrong

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B

(1) is false.
(2) is true.

Correct

Wrong

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C
(3) and (4) both are true.

Correct

Wrong

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D
(1) and (2) both are true.

Solutions
Question 3/10
1 / -0

Correct

Wrong

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A
ad – bc < 0

Correct

Wrong

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B
ad – bc > 0

Correct

Wrong

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C
ab – cd > 0

Correct

Wrong

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D
ab – cd < 0

Solutions
Question 4/10
1 / -0

Correct

Wrong

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A
an even function

Correct

Wrong

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B
an odd function

Correct

Wrong

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C
a periodic function

Correct

Wrong

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D
None of these

Solutions
Question 5/10
1 / -0

Correct

Wrong

Skipped
A
g(x) + g (π)

Correct

Wrong

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B
g(x) – g (π)

Correct

Wrong

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C
g(x) g (π)

Correct

Wrong

Skipped
D
g(x)/g (π)

Solutions
Question 6/10
1 / -0

Correct

Wrong

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A
1/4

Correct

Wrong

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B
1/5

Correct

Wrong

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C
1/6

Correct

Wrong

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D
1/7

Solutions
Question 7/10
1 / -0

Correct

Wrong

Skipped
A
-π

Correct

Wrong

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B
0

Correct

Wrong

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C
-π/2

Correct

Wrong

Skipped
D
π/2

Solutions
Question 8/10
1 / -0

Correct

Wrong

Skipped
A
sinα

Correct

Wrong

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B
tan^-1(sinα)

Correct

Wrong

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C
α sinα

Correct

Wrong

Skipped
D
α/2 sinα

Solutions
Question 9/10
1 / -0

If gof is continuous, then

Correct

Wrong

Skipped
A
a = 2, b = 0

Correct

Wrong

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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 10/10
1 / -0

Correct

Wrong

Skipped
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

Skipped
D
a = 2 and b = -2

Solutions

Question 1/10

4√2,4

4,2√2

2,√2

2√2,2

Question 2/10

(1) is true. (2) is false.

(1) is false. (2) is true.

(3) and (4) both are true.

(1) and (2) both are true.

Question 3/10

ad – bc < 0

ad – bc > 0

ab – cd > 0

ab – cd < 0

Question 4/10

an even function

an odd function

a periodic function

None of these

Question 5/10

g(x) + g (π)

g(x) – g (π)

g(x) g (π)

g(x)/g (π)

Question 6/10

1/4

1/5

1/6

1/7

Question 7/10

-π

0

-π/2

π/2

Question 8/10

sinα

tan-1 (sinα)

α sinα

α/2 sinα

Question 9/10

a = 2, b = 0

a = 0, b = 1

a = 1, b = 0

b = 1, a = 1

Question 10/10

a = 1 and b = -2

a = 1 and b = -1

a = -1 and b = 1

a = 2 and b = -2

(1) is true.
(2) is false.

(1) is false.
(2) is true.

tan^-1(sinα)