Question # 1

Logarithms with base 10 are known as:

Choose an answer

Natural logarithms

Commonlogarithms

Both a and b

None of these

∀ a∈ R⇒ a = a is __________ property:

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Reflexive

Symmetric

Transitive

Additive property

Congruent figures are ________ in area:

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Same

Different

Empty

None of these

Degree of polynomial 4x⁴+2x²y is:

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1

2

3

4

Point (-5,3) lies in quadrant:

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I

II

III

IV

Choose an answer

What will be added in b⁴+64 to complete the square:

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-16b²

16b²

-4b²

4b²

The logarithm of any number to itself as base is:

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1

0

-1

10

If Z < 0 then x < y→

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xz < yz

xz > yz

xz = yz

None of these

If A, B and C are comfortable for multiplication then A(BC) =

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AB

A(CB)

(AB)C

None

How many right angles a parallelogram has ________:

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0

1

2

3

Cosec²θ-cot²θ =.............

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-1

1

0

tanθ

A circum angle is subtended between any two chords of a circle, having:

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Circumference

Diameter

Radius

Central angle

In equation ax⁴+bx²+c=0, we replace:

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x² = y

x= y

x⁴= y

x³= y

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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Sec 45^o =..................

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1

√2

1/√2

0

Which of the following is a reciprocal equation ?

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ax³+bx³+cx+d=0

ax⁴-bx³+cx²-bx+a=0

ax⁴+bx³+cx²+dx+e=0

ax⁴+bx³+cx²+bx+a=0

In a proposition a:b::c:d, a and d are called:

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Means

Extremes

Fourth proportional

None

A circle of radius 'r' has area:

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πr²

2πr

2πr²

1/2πr

Sin (-310^o) = ...................

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Sin310^o

-Sin310^o

Cos310^o

tan310^o

An angle which is equal to 90° is called:

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right angle

obtuse angle

acute angle

none of these

If W = {0, 1, 2, 3, 4, ........}, N = {1, 2, 3, 4 ...........} then N - W = ?

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W

{0}

none of these

To draw general conclusions from a limited number of observations is called:

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logic

proposition

induction

deduction

If one root of 2x² + ax + 6 = 0 is 2 then the value of a is:

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7

-7

The number of diagonals of a polygon with n sides is:

Choose an answer

none of these

A statement which is true for all possible values of the variables involved in it, is called a:

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tautology

conditional

implication

absurdity

Domain of finite sequence is:

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set of natural numbers

subset of N

R

none

1° is equal to:

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quad. I

quad. II

quad. III

quad. IV

Truth table containing all the values true is called:

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absurdity

conjunction

tautology

none

A circle drawn inside a triangle and touching its sides is known as:

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-4 < y < 4 is the solution of the following:

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y = 5

y = 3

y = -4

y = 4

Point p (-5, 6) lies ............ the circle x² + y² + 4x - 6y - 12 = 0

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Outside

Inside

On

None of these

The parabola y² = 4ax lies in quadrants:

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I and II

III and IV

II and III

I and IV

The set of all points in the plane that are equally distant from a fixed point is called a / an:

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Circle

Circular cone

Ellipse

Point circle

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integration by parts

definite integral

Differentation

None of these

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Scalar

Free vector

Unit vector

Null vector

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2cosh x

2sinh x

2sinh (2x)

-2sinh (2x)

If f(x) = cos x then f'(0) is equal to:

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0

-1

1

If x and y are so mixed up and y cannot be expressed in terms of the independent variable x, then y is called a/an ---- function of x.

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Constant

Explicit

Implicit

Inverse

In equation of circle, coefficient of each of x² and y² are:

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Not equal

Opposite in signs

Equal

None of these

the focal chord perpendicular to the axis of the parabola is called _____________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord