Question # 1

The value i¹⁰

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1

-1

i

-i

If x=-3 and y=-1 then the value of x³y will be:

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27

-27

9

-9

If Z₁ = a + bi and Z₂ = c + di then Z₁.Z₂ =

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ac + bdi

ac - bd

ac - bd + adi + bci

multiplication is not possible

The right bisector of the sides of an acute triangle intersects each other ______:

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Outside the triangle

Inside the triangle

Hypotenuse

At no point

The value of i^{9 is:}

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1

-1

i

-i

How many right angles a parallelogram has ________:

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0

1

2

3

If a line segment intersects the two sides of a triangle in the same ration then it is ______ to the third side:

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Perpendicular

Parallel

Intersecting

Similar

In a scalene triangle, the angle opposite to the largest side is of measure greater than ___________.

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40°

50°

45°

60°

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Equal

Congruent

If and only if

Correspodency

The interior of a rectangle is the part of the plane enclosed by the ________:

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Square

Triangle

Rectangle

Parallelogram

The __________ of a triangle is the part of the plane enclosed by the triangle:

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Exterior

Attitude

Interior

Perpendicular

If a : b = c : d, then a + b : a - b = c + d : c - d is called theorem of:

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Componendo-Dividendo

Invertendo

Dividendo

Componendo

The n^th positive root of the product of the x₁,x₂,x₃..................x_n observations is called:

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Mode

Mean

Geometric mean

In class (30-39), lower class limit is....

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39

9

30

34.5

The mean of the squared deviations of X observations from their arithmetic mean is called.

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Variance

Standard deviation

Range

Harmonic mean

In continued proportional a:b = b:c, c in said to be ______ proportional to a and b:

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Third

Fourth

Means

None of these

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A circle of any radius can be constructed by rotating a compass about:

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A chord

An arc

The straight line

A fixed point

A relation between two quantities of same kind is called:

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Proportion

Ratio

Variation

Percentage

Two linear factors x²-15x+56 are:

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(x-7) and (x+8)

(x+7) and (x-8)

(x-7) and (x-8)

(x+7) and (x+8)

Point (-1, 4) lies in the quadrant:

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I

II

III

IV

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-2

2

4

-4

Multiplicative inverse of -i is:

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i

-i

1

-1

If A is a square matrix order 3 × 3 the |kA| equals:

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k |A|

k²|A|

k³ |A|

k⁴ |A|

The period of sec x is:

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The objects in a set are called:

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elements

sub-sets

whole numbers

overlapping sets

What is the general term of the sequence 2, 4, 6, 8, ........... ?

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2n

n + 1

2n²

none of these

2 sin α cos ß =

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sin (α + ß) - sin (α - ß)

cos (α + ß) + cos (α - ß)

sin (α + ß) + sin (α - ß)

cos (α + ß) - cos (α - ß)

If a set is described by listing its elements within brackets is called:

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set builder notation

tabular form

descriptive method

none of these

If A = {1, 2, 7, 9}, B = {1, 4, 7, 11}:

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disjoints sets

equal sets

overlapping sets

complementary sets

If n(S) = 3 then n {P(S)} =

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2

8

16

4

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3

1

4

None

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2

1

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sin x

cos x

sinh x

cosh x

In the case of rotation of axes which formula is true:

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a

2b

b

2a

For any point (x, y) on x-axis:

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y = 1

y = 0

y = -1

y = 2

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Ellipse

Parabola

Hyperbola

Circle

ax + by < c is an inequality of:

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One variable

Threevariable

Twovariable

Fourvariable

In the case of translation of axes which formula is true:

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x = X - h

x = X + h

x + X = h

None

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If a straight line is perpendicular to x-axis, then its slope is:

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0

1

2

Undefined

The non-negative inequalities are called:

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Parameters

Constants

Decision variables

Vertices