Question # 1

The product of (x+y)(x-y)(x²+xy+y²) is:

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x⁶+y⁶

(x+y)⁶

(x+y)²(x-y)²

x^6-y⁶

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Equal

Congruent

If and only if

Correspodency

Number of lines can be drawn from two points:

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1

2

3

unlimited

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How many lines can be drawn through two points ?

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One

Two

Three

Four

The right bisector of the sides of a right triangle intersect each other ______:

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Inside the triangle

Outside the triangle

On hypotenuse

None of these

An equilateral triangle is an _________ triangle:

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Rounded

Equiangular

Scalene

Right angled

How many mid points a line segment has ?

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1

2

3

4

How many right angles a parallelogram has ________:

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0

1

2

3

The points are called collinear if they are situated on:

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The same line

Different lines

Intersecting

None of these

Which is one is a quadrantal angel?

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30^o

45^o

60^o

90^o

A Deviation is defined as a difference of any value of the variable from a:

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Constant

Histogram

Sum

Synthetic division is simply a short cut of:

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H.C.F

L.C.M

Long division method

Factorization

The nature of the roots of equation ax²+bx+c=0, is determined by:

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Sum of the roots

Product of the roots

Synthetic division

Discriminant

A ratio has:

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No units

Oneunit

Twounits

Threeunits

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An identity is:

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An equation

A polynomial

A fraction

A ratio

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bc

The domain of R = {(0,2),(2,3),(3,3)(3,4)} is.

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{0,3,4}

{0,2,3}

{0,2,4}

{2,3,4}

If R = {(0,0),(8,2),(10,3),(14,12)}, then Dom R = ___________

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{0,8,10,14}

{0,2,3,12}

{8,10,4}

{0,10}

One minute is denoted by:

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1'

1''

1°

60'

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The identity element in a group is:

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unique

inifinite

both a and b

not possible

The lengths of the sides of a triangle are proportional to the sines of the opposite angles to the sides. This is known as:

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The law of sines

The law of cosines

The law of tangents

The fundamental law

Which number cannot be a term of a geometric sequence ?

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0

1

-1

r

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rationalnumber

irrationalnumber

naturalnumber

wholenumber

Product of a complex number and its conjugate is:

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a real number

irrationalnumber

a complexnumber

either real number or complexnumber

In binomial expansion of (a+b)n, n is positive integer the sum of even coefficients equals:

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none of these

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set builder notation

tabular form

descriptive method

non-set builder method

i² + 1 =

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-1

0

i

1

The graph of y = cos^-1 x is obtained by reflecting the graph of y = cos x about:

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x-axis

y-axis

y = x

y = -x

If a set is described in words, the method is called:

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tabular form

descriptiveform

set builder notation

non-tabular method

The line l is horizontal if and only if slope is equal to:

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0

1

2

undefined

The function f(x) = 3x² has minimum value at :

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x = 3

x = 2

x = 1

x = 0

The ratio in which y-axis divides the line joining (2, -3) and (-5, 6) is:

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2 : 3

2 : 5

1 : 2

3 : 5

The point (5, 8) lies the line 2x - 3y + 6 = 0

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Above

Below

On

None

The feasible solution, which maximizes or minimizes the objective function, is called the _________:

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Maximum solution

Optimal solution

Minimum solutions

None of these

If the focus lies on the x-axis with coordinates F(a, 0) and directrix of the parabola is = - a then the equation of parabola is:

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x² = 4ay

y²= 4ax

-x²= 4ay

-y²= 4ax

Which of the following is not a vector quantity ?

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Weight

Mass

Force

Velocity

ax + b < c is a inequality of:

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One variable

Two variable

Three variable

Four variable

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36

42

48

12

The axis of the parabola x² = -4ay is:

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x = a

x = 0

y = a

y = 0

Which one is a constant function ?

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f(x) = x²

f(x) = x

f(x) = x + 1

f(x) = 14