Question # 1

The matrices are denoted by _________ letters of English alphabet:

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Small

Capital

Both a and b

None

The region enclosed by the bounding lines of a closed figure is called the ________ of the figure.

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Parallelogram

Area

Triangle

Square

A __________ region in the union of a triangle and its interior:

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Triangular

Plane

Parallelogram

None of these

Diagonals of a parallelogram divide the parallelogram into ________ congruent triangles.

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Two

Three

Four

Five

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a²+b²=c²

a²+c²=b²

b²+c²=a²

All of these

The integral part of logarithm is called __________:

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Characteristics

Mantisa

Common logarithm

Natural logarithm

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1

If a:b=c:d then a,b,c and d are said to be in:

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Proportion

Ratio

Equal

Unequal

__________ congruent triangles can be made by joining the mid-points of the sides of a triangle:

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Three

Four

Five

Two

The __________ bisector of an angle of a triangle divides the sides in the same ratio then it is the ratio of the lengths of the sides containing the angles:

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Internal

External

Perpendicular

None of these

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None of these

If the distance between the centres of two circles is equal to the sum of their radii, then the circles will:

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Intersect

Do not intersect

Touch each other externally

The discriminant of 7x²+8x+1=0 is:

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32

34

36

38

Arithmetic mean of 34,34,34,34,34,34 is.

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0

341

6

170

π/3 radians =..............................................

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30^o

45^o

60^o

90^o

Cos 30^o =.....................

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1/2

√3/2

2

2/√3

If a:b = x:y, then alternando property is:

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4.13

3.14

15.4

17.3

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

The nth positive root of the product of the x₁,x₂,x₃,..............x₁₁ observation is called.

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Mode

Mean

Geometric mean

Median

If 12, p and 3 are in continued proportion, then p =

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The Range of R is, if R = {(1,3),(2,2),(3,1),(4,4)}.

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{1,2,4}

{3,2,4}

{1,2,3,4}

{1,3,4}

tan^-1(-√3) is:

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3:5:2

3:2:1

1:2:3

The period of tan 2x is:

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Sum of all four fourth roots of unity is:

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1

0

-1

3

A^-1 exists if A is:

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singular

nonsingular

symmetric

none

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tan x

cot x

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scalar matrix

diagonalmatrix

lower triangularmatrix

upper triangularmatrix

cos(tan^-1∞) =

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0

∞

1

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

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0

1

>1

none

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3

1

4

None

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0

-1

1

2

If a variable y depends on a variable x in such a way that each value of x determines exactly one value of y, then y is a __________ of x.

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Independent variable

Not function

Function

None of these

The point of intersection of the altitudes of a triangle is called:

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Centroid

Ortho-center

Circums-center

In-center

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0

2

3

1

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

Equation of the line parallel to x + 3y - 9 = 0 is:

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3x - y - 9 = 0

3x + 9y + 7 = 0

2x - 6y - 18 = 0

x - 3y + 9 = 0

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Unit vector

Null vector

Position vector

None of these

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e^-x sin x + c

-e^-x sin x + c

e^-xcosx + c

-e^-xsin x + c

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1

2

3

0

The pair of lines of homogeneous second-degree equation ax² + 2hxy + by² = 0 are real and coincident, if:

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h² < ab

h²> ab

h²= ab

None of these

An angle in a semi-circle is:

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0°

90°

180°

60°