Question # 1

The set of all rational numbers between 2, 3 is:

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an empty set

an infinite set

a finite set

a power set

Truth table containing all the values true is called:

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absurdity

conjunction

tautology

none

The range of principal tangent function is:

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A matrix of order m×1 is called:

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row matrix

column matrix

identity matrix

scalar matrix

Two matrices X and Y are equal if and only if:

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X and Y are of same order

Their corresponding elements are equal

Both a and b

None of these

A function f(x) is said to be the periodic function if, for all x in the domain of f, there exists a smallest positive number p such tat f (x + p) = ________:

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f (p)

x + p

0

f(x)

if sin x + cos x = 0, then x = _________:

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none of these

Graphs of trigonometric function within their domains are:

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line segments

sharp corners

broken lines

smooth curves

In any triangle ABC, law of sines is:

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The objects in a set are called:

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elements

sub-sets

whole numbers

overlapping sets

In a triangle ABC, (s - a)(s - b) = s(s - c), then the angle Γ =

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A geometric series is convergent only if:

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| r | > 1

| r | < 1

| r | = 1

none of these

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degree of P(x) = degree of Q(x)

degree of P(x) < degree of Q(x)

degree of P(x) > degree of Q(x)

none of these

The solution set of sinΘ, cosΘ = 1 in [0, 2π] is ___________:

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0

solution does not exist

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For what value of k, the roots of the equation x² + √k x + 2 = 0 are equal:

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1

8

2

4

If S is a sample space and event E is S then P(E) is:

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0

1

>1

none

The roots of the equation:

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complex

irrational

rational

none of these

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

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1

-1

-6

6

tan^-1 (-x) =

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tan^-1x

cot^-1x

-tan^-1x

-cot^-1x

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