Question # 1

2 cos α sin ß =

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cos (α + ß) + cos (α - ß)

sin (α + ß) + sin (α - ß)

sin (α + ß) - sin (α - ß)

cos (α + ß) + cos (α - ß)

Conjugate of a- i b is:

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b + ia

-a + ib

-a - ib

a + ib

The value of ⁵C₂ is:

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1

10

20

30

The ordered pairs (4, 5) and (5, 4) are:

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same

different

both a and b

N

If A is non singular matrix then A^t is:

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singular

nonsingular

symmetric

none

When a rational fraction is separated into partial fractions, the result is:

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{1, 2, 3}

{5, 6, 7}

{4}

Solution set of the equation x² - 3x + 2 = 0 is

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{-1, 2}

{1, -2}

{-1, -2}

{1, 2}

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none of these

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The area of a sector of a circular region of radius r with length of the arc of the sector equal to s is-----------:

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rΘ

rs

If two rows (or two columns) in a square matrix are identical (i.e. corresponding elements are equal), the value of the determinant is:

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0

1

-1

±1

If A = [aij] and B = [bij] are two matrices of same order r × s, then order of A - B is:

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r - s

r × s

r + s

none of these

The series 2 + 2 + 2 ..... is:

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divergent

convergent

oscillatory

none of these

The product of three G.Ms between 1 and 16 is:

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32

64

128

16

Graphs of trigonometric function within their domains are:

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line segments

sharp corners

broken lines

smooth curves

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3

-3

1/3

-1/3

If a polynomial P(x) = x2 + 4x2 - 2x + 5 is divided by x - 1, then the reminder is:

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8

-2

4

5

The lengths of the sides of a triangle are proportional to the sines of the opposite angles to the sides. This is known as:

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The law of sines

The law of cosines

The law of tangents

The fundamental law

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