Question # 1

The value of x and y when (x + iy)2 = 5 - 4i

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x = 2, y = -1

x = -2, y = 1

x = 2, y = -i

x = 2, y = 2

If f(x) = -x²then f(-2) is

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-2

2

-4

4

Express as a sum or difference: 2 sin 5θcosθ

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cos 4θ- cos 2θ

sin 4θ+ sin 2θ

cos 4θ+ cos 2θ

sin 4θ- sin 2θ

The set {x +iy / x, y ∈ Q} forms a group under the binary operation of

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Addition

Multiplication

Division

Both addition and multiplication

202.04 is an example of

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Recurring decimals

Non-recurring decimals

Terminating decimals

None of these

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The statement that a group can have more than one identity elements is

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True

False

Ambiguous

Some times true

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184

none of these

If the angle between two vectors with magnitude 6 and 2 is 60° when their scalar product is

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12

6

3

0

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1

2

-1

0

The numbers of G₁, G₂, G₃...... G_nare called n geometric means between a and b is a, G₁, G_2,G₃, ... G_n, b are in

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H.P.

A.P.

G.P.

None of these

∛8.6 is approximately equal to

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2.488

2.48

2.0488

2.05

A function f is said to be an even if f(-x) =

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0

1

f(x)

-f(x)

The set { {a, b} } is

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Infinite set

Singleton set

Two points set

Empty set

For a set A, A∪Ac= ---------------------

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A

∅

Ac

U

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A non-terminating, non-recurring decimal represent

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A natural number

A rational number

An irrational number

A prime number

A vertical pole is 8m high and the length of its shadow is 6m. The angle of elevation of the sun of the moment is

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57𝜊

-48𝜊

27𝜊

53𝜊

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15

15 i

-15 i

-15

The maximum value of 12 sinθ-9 sin²θis x

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3

4

5

None of these

If you are looking someone on the ground from the top of a hill the angle formed is called angle of _______;

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Elevation

Depression

Right angle

None off these

x²+ x - 6 = 0 is

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An equation

An identity

A polynomial

None of these

If ΔABC is right triangle then the law of Cosines reduces to

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The Pythagoras Theorem

The law of Sines

The law of cosines

The law of tangents

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The condition for ax2 + bx c to be expressed as the product of linear polynomials is

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b4 - 4ac =0

b4- 4ac ≥0

b4- 4ac <0

b4= 4ac

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

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1700

17023

17027

17010

sin -1(sin2π/3) =

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π/2

2π/3

-3π/2

π/3

1,1/3,1/5,1/7,1/9..... is a

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geometric sequence

finite sequence

infinite sequence

arithmetic series

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cos x + c

-sin x + c

-cos x + c

sin x + c

Which of the following function form 1 to itself are bi-jective

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F(x) = x + 3

F(x) = x⁵

F(x) = 3x + 2

F(x) = x²+ x

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