Question # 1

If the bisector of an angle of a triangle bisects the side opposite to it the triangle is:

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Isoscless

Equilateral

Trapezium

Scalen

loge = ____________ where e = 2.718:

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0

0.4343

infinity

1

Bisection means to divided the parallelogram into ______ triangles:

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5

4

3

2

Congruent triangles are of _______ size and shape:

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Same

Different

Parallel

Similar

(img) is used for __________ triangle:

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Acute angled

Obtuse angled

Right angled

All

Logarithms with base 10 are known as:

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Natural logarithms

Commonlogarithms

Both a and b

None of these

Every surd is ______ number:

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Rational

Whole

Natural

Irrational

The conjugate of 5 + 4i is

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-5 + 4i

-5 - 4i

5 - 4i

5 + 4i

The distance between a line and a point not on line is the length of the _______ line segment from the point to the line:

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Parallel

Perpendicular

Zero

None of these

Ratio, (img) as comparison of two _______ quantities:

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Different

Alike

Unlike

None of these

Factors of a⁴-4b⁴ are:

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(a-b),(a+b),(a2+4b²)

(a²-2b²),(a²+2b²)

(a-b),(a+b),(a^2-4b²)

(a-2b),(a²+2b²)

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The product of roots, of equation 5x²+(7-2m) x + 3 = 0 will be:

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90 degree makes ______ right angle:

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2

4

1

3

The length of a chord and the radial segment of a circle are congruent, the central angle made by the chord will be:

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30°

45°

60°

75°

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

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If a = -2, b = -1 and c = -1, then discriminant is equal to:

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17

-17

-7

7

1^o=.........................

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180π radian

π radian

π/180 radian

180/π radian

The solution set of equation 4x²-16=0 is:

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{4}

2π radian = .......................

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0^o

90^o

180^o

360^o

The range of {(a,a),(b,b),(c,c) is ..............

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{a,b}

{a,b,c}

{a}

∅

The value obtained by reciprocating the mean of the reciprocal of x₁,x₂,x₃..............x₁₁ observation is called....................

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Geometric mean

Median

Harmonic mean

S.D

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a is an element of a set A

a is subset of A

a is a whole number

a contains A

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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

π, e are:

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integers

natural numbers

rationalnumbers

irrationalnumbers

A matrix in which each element is 0 is called:

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No. of triangles can be formed by joining the vertices of the polygon having 5 sides ?

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10

15

20

none of these

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

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group

abelian-group

semi-group

associative-group

Division of a natural number by another natural number gives:

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always a natural number

always an integer

always a rationalnumber

always an irrational number

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scalar matrix

diagonalmatrix

lower triangularmatrix

upper triangularmatrix

A^-1 exists if A is:

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singular

nonsingular

symmetric

none

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The horizontal line x' ox is called:

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x-axis

y-axis

abscissa

ordinate

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0

A function, which is to be maximized or minimized is called an ________:

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Maximum function

Objective funciton

Minimum function

None of these

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0

-1

1

2

The order (or sense) of an inequality is changed by ________, it each side by a negative constant.

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Adding

Subtracting

Dividing

None of these

The point of a parabola which is closest to the focus in the:

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Directrix

Vertex

Focus

Chord

Infinite number of lines can pass through:

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One point

Two points

Three points

Four points

The vertical line y'oy is called:

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x-axis

y-axis

abscissa

Ordinate

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a cosec (ax + b)

cot (ax + b)