Question # 1

A solution to a linear equation in any replacement or substitution for the variable x that makes the statement ____________.

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True

False

Open

Inequality

The right bisectors of the sides of _________ triangle intersect each other outside the triangle:

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Acute angle

Obtuse angle

Right angle

Adjacent angle

Let A and B be two matrices. Then A is said to be equal to B, and denoted by A = B if and only if:

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Order of A = Order of B

Corresponding entries are equal

Either a or b

Bot a and b

The value i¹⁰

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1

-1

i

-i

The line segments, joining the mid-points of the sides of a quadrilateral, taken in order form a _____________.

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Square

Rectangle

Rhombus

Parallelogram

A line segment has ________ mid points:

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1

2

3

4

Aurther Cayley introduces theory of matrices in:

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1854

1856

1858

1860

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0

0.4343

infinity

1

LCM of a²+b² and a⁴-b⁴ is:

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a²+b²

a²-b²

a⁴-b⁴

a-b

Conjugate of real number is:

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Pure imaginary

Real

Complex

None

The real numbers are represented geometrically by points on _________,

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Plane

Line

Space

None

In equation ax⁴+bx²+c=0, we replace:

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x² = y

x= y

x⁴= y

x³= y

The measures that are used to determine the degree or extent of variation in a data set are called measures of:

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Dispersion

Central tendency

Average

Sum of the roots =

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Sin²θ +Cos²θ =..................

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tan²θ

Cos²θ

1

0

A set having only one member.

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Empty set

Power set

Singleton set

Sub set

Mean is affected by change in;

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Place

Scale

Rate

Tan 180° =

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0

1

Not defined

-1

In ax²+b+c, the constant term is:

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a

b

c

d

The important thing in ratio is:

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Value of the elements

Orderof the elements

Unitsof the elements

Quantityof the elements

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2

1

0

Factors of x²-x-2=0 are:

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(x-1)(x+2)

(x-1)(x-2)

(x+1)(x+2)

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 3 ?

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none of these

Truth table containing all the values true is called:

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absurdity

conjunction

tautology

none

The domain of principal sine function is:

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sin (Θ - π) =

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{1, 2, 3}

{5, 6, 7}

{4}

Probability of a certain event is:

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0

1

>1

∞

ⁿC₄ =ⁿC₈then n = :

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4

12

8

6

A reference angle Θ is always:

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all of these

An angle in a semi-circle is:

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0°

90°

180°

60°

If in the case of translation of axes, O (-3, 2), (x, y) = (-6, 9) then (X, Y) =

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(-3, 9)

(-3, 7)

(-9, 11)

(3, 7)

The distance of any point P (x, y) from the origin O(0 , 0) is given by:

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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

The non-negative inequalities are called:

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Parameters

Constants

Decision variables

Vertices

If (x, y) are the coordinate of a point ordered pair is called:

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Abscissa

Ordinate

Coordinate

Ordered pair

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One variable

Three variable

Two variable

Four variable

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Integration

Integrand

Constant of integration

None of these

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Circle

Parabola

Hyperbola

Ellipse

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0

1

-1

2

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Position vector

Null vector

Unit vector

None of these