Question # 1

The number of divisors of 1029, 1547 and 122 are in

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A.P.

G.P.

H.P.

None of these

Domain of tangent function is

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If the flag-staff 6 meters high placed on the top of a tower. Makes the shadow 2√3 m on the ground, then the angle of elevation of the sun is

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30^ο

35^ο

45^ο

60^ο

The complement of set A relative to universal set U is the set

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{x / x∈ A∧ x∈ U}

{x / x∉ A∧ x ∈ U}

{x / x∈ A and x ∉ U}

A-U

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1

2

3

The coefficient of x¹⁰in the expansion (x³+3/x²)¹⁰is

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1700

17023

17027

17010

If A and B are two matrices such that AB = B and BA = A then A2 + B2 =

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2 AB

2 BA

A + B

AB

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cos 2α=

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sin²α+ cos²α

-cosθ

tanθ

None of these

A circle passing through the vertices of any triangle is called

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Circumcirle

Incircle

Escribed circle

Unit circle

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2s²

2s³

s³

3s³

The fifth term of an A.P. Whose first term is 5 and common difference is 3,is

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20

17

25

30

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A dice is rolled. The probability that the dots on the top are greater than 4 is

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1/6

1/3

1/2

1

Range if y = cos x is

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-1≤ y≤ 1

-1 < y < 1

-∞ < x < +∞

None of these

A square matrix all of whose elements except the main diagonal are zeros is called a

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Null matrix

Singular matrix

Symmetric matrix

Diagonal matrix

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I quadrant

II quadrant

III quadrant

IV quadrant

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0

1

Ifπ≤x≤2π, then cos-1 (cos x)=

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cos x

-x

1/x

-x

(1 - x)³= ______

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1 + 3x + 3x²+ x³

1 + x + x²+ x³

1 - x + x²- x³

1 - 3x + 3x²- x³

In set builder notation the set {0,1,2,........100} can be written as

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{x / xε B ∧ x ≤ 100}

{x / x ∈ W ∧ x < 101}

{x / x ∈ Z ∧ x < 101}

The set of first 100 whole numbers

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2

5

7

None of these

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-sinθ

cosθ

sinθ

-cosθ

The 5th term of (3a-2b)^-1is

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77b²/a⁵

16b²/243 a⁵

17b⁴/43a⁵

25b³/43a⁵

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Associative law of addition

Commutative law of addition

Additive identity

Closure law of addition

The line through the centre and perpendicular to the transverse axis is called the

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Major axis

Minor axis

Focal axis

Conjugate axis

The expansion of (1 + 2x)^-2is valed if

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| x | < 1/2

| x | < 1

| x | < 2

| x | < 3

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