Question # 1

cos⁴Θ - sin⁴Θ =

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sin 2Θ

cos 2Θ

tan 2Θ

sec 2Θ

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diagonal matrix

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rational number

irrational number

natural number

whole number

1 radian is equal to:

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180°

none of these

If the sum of the roots of ax² - (a + 1) x + (2a + 1) = 0 is 2, then the product of the roots is:

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1

2

3

4

A groupoid (S) is called __________ if it is associative in S:

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group

abelian-group

semi-group

associative-group

(a+b) x = ax + bx is:

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If sin Θ + cosec Θ = 2, then sin² Θ + cosec² Θ =

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2

4

0

8

The roots of the equation 25x² - 30x + 9 = 0 are;

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rational

irrational

equal

complex

Product of a complex number and its conjugate is:

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a real number

irrationalnumber

a complexnumber

either real number or complexnumber

The period of sec 3x is :

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If there are six G.Ms between 3 and 284 then G₄ =

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24

48

12

6

If s denotes the length of the arc intercepted on a circle of radius r by a central angle of α radians, then:

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s = rα

s = r + α

none of these

Rational numbers are:

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repeating decimals

terminatingdecimals

periodicdecimals

all of these

If W = {0, 1, 2, 3, 4, ........}, N = {1, 2, 3, 4 ...........} then N - W = ?

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W

{0}

none of these

The middle term of (x-y)¹⁸ is:

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9th

10th

11th

none of these

A set can be described by:

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one way

two ways

several ways

threeways

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quad I

quad. II

quad. III

quad. IV

Graphs of trigonometric function within their domains are:

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line segments

sharp corners

broken lines

smooth curves

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0

-1

>1

none

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x = 0

y = 0

x = 0 and y = 0

x = 0 or y = 0

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