Question # 1

Write 4^2/3with radical sign

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Set of Real numbers =

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Q

Q'

QႶQ'

QUQ'

Bisectors of angle formed with any one side of a parallelogram intersect each other at angle:

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150°

30°

60°

90°

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3-by 2

2-by-3

1-by-3

3-by-1

In ab + ac = a(b+c) then a and b + c are__________ of ab + ac:

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Functions

Member

Elements

Factors

If the product of two surds is a rational number, then each surd is called ________ of the other:

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Additive inverse

Multiplicative inverse

Rationalizing factor

Factor

The product in matrices AB, the number of columns of A must be equal to number _______ of B.

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Columns

Entries

Rows

None of these

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(a-b)2

(a+b)2

a+b

a-b

______ non collinear points determine a plane:

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1

2

3

4

Which is order of square matrix

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2-by-2

-by-2

2-by-1

3-by-2

The matrices are denoted by _________ letters of English alphabet:

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Small

Capital

Both a and b

None

Sum of the cube roots of unity is:

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0

1

-1

3

A ___________ is the locus of a moving point P in a plane which is equidistant forms some fixed point O.

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circle

diameter

chord

circumference

In ax²+b+c, the co-efficient of x is:

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b

d

c

a

The number of elements of the power set {a,b} are.

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1

2

3

4

Venn diagram was first used by......................

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John Venn

Netwon

Arthur Cayler

John Napier

Cot 45° =

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1

-1

0

Not defined

A part of the circumference of a circle is called a/an :

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angel

are

circumference

radian

Variance is denoted by...........................

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V

S

S²

X

The total of frequency up to an upper class limit or boundary is called:

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frequency

class frequency

cumulative frequency

relative frequency

The measure of the external angles of a regular hexagon is:

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Mean is affected by change in ..........

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Place

Scale

Rate

None of these

The range of principal sine function is:

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An infinite sequence has no:

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nth term

last term

sum

none

The domain of principal cosine function is:

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When two sides and included angle is given, then area of triangle is given by:

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all of these

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0

-1

>1

none

Zero is:

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a natural number

a whole number

a positive integer

a negativeinteger

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

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group

abelian-group

semi-group

associative-group

tan(π + tan^-1x ) =

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x

π+x

π-x

none of these

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{2, 4, 6, 8, ...........} represents the set of:

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positive odd numbers

natural numbers

prime numbers

positive even numbers

The point of intersection of internal bisectors of the angles of a triangle is called:

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Centroid

Ortho-centers

Circums-center

In-center

The directrix of the parabola y² = 4ax is:

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x = a

x = -a

y = a

y = - a

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5 sin x

cosh (5x)

5 cosh (5x)

-5 cosh (5x)

The equ. of directrix of the parabola y² = -4ax is:

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x = a

x = - a

y = a

y = -a

The instantaneous rate of change of y with respect to x is given by:

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A linear equation in two variables represents:

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Circle

Ellipse

Hyberbola

Straight line

Which are the following triples can be direction angles of a single vector:

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45°,45°,60°

30°,45°,60°

45°,60°,60°

30°,30°,30°

Two arcs of two different circles are congruent if:

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The circles are congruent

The corresponding central angles are congruent

Both a and b

None of the above

If the directed distances AP and PB have same signs, then their ratio is positive and P is said to divide AB:

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Internally

May be divide

Externally

None of these

For different values of k, the equation 4x + 5y = k represents lines ______ to the line 4x + 5y = 0.

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Perpendicular

Parallel

Equal

None of these

ax + by + c = 0, will represent equation of straight line parallel y-axis if:

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a = 0

b = 0

c = 0

a = 0, c = 0