Question # 1

In parallelogram ______ are congruent:

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Opposite sides

Opposite angles

Opposite sides and angles

Diagonals

∀ a∈ R⇒ a + o = a = o + a, then O is called:

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Multiplicative identity

Additive identity

Additive inverse

Multiplicative inverse

Diagonals of a rectangle are:

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Equal

Congruent

Opposite

None of these

a^m.aⁿ = a^m+nis ________ law of exponents.

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Sum of powers

Power of fraction

Power of power

Law of quotient

Real part of 2ab(i + i²) is:

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2ab

-2ab

2abi

-2abi

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Associative

Distributive

Commutative

None

A triangle can have only ______ right angle:

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1

2

3

4

Two lines can intersect at :

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Two points

One points

Three points

Unlimited

The symbol _______ is used for line AB.

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The idea of matrices was given by:

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Leibniz

Cauchy

Arthur Cayley

Newton

Right angle means angle measures:

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30°

60°

90°

120°

(x+3)² = x² + 6x + 9 is:

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A linear equation

An equation

An identity

None of these

If the incentre and circumentre of a triangle coincide, the triangle is:

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An isoscenes

A right triangle

An equilateral

Cot 60^o=________________

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1/√3

√3

1/2

2

To solve (x+a)(x+b)(x+c)(x+d) = k, we have:

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a-b=b-c

a-b=c-d

a+b=c+d

a-c=b-c

The straight line joining any two points of the circumference is called:

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Segment of circle

Arcof circle

Chordof circle

Tangentof circle

The most frequent occurring observation in a data set is called:

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Mode

Median

Harmonic mean

How many tangents can be drawn from a point outside it ?

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1

2

3

4

360 degrees make 4 _________ angles:

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Obtuse

Right

Acute

Supplementary

In continued proportion a:b = b:c, ac = b², b is said to be _______ proportional between a and c:

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Third

Fourth

Means

None of these

The measure of the external angles of a regular hexagon is:

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The standard form of quadratic equation is:

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x²+6=7x

x²-7x=6

7x+6=x²

x²-7x+6=0

The disjunction of two statements p and q is denoted by:

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The period of cot 2x is:

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diagonal matrix

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The graph of x = sin y is obtained by reflecting the graph of y = sin x about the line:

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x axis

y axis

y = x

y = -x

If A and B are two matrices, then:

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A B = O

AB = BA

AB = I

AB may not be defined

In a right isoceles triangle, one acute angle is:

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30°

45°

60°

75°

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

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Reflexive property

Symmetricproperty

Transitiveproperty

Trichotomyproperty

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30°

45°

60°

75°

A scalar quantity is one that possesses only :

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Magnitude

Direction

Both a and b

None of these

The center of circle x² + y² + 2gx + 2fy + c = 0 is:

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(-g, -f)

(-f, -g)

(0, 0)

(g, f)

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Position vector of O

Position vector of P

Unit vector

Null vector

ax + by + c = 0 has matrix from as:

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|ax + by| = |-c|

[ax + by ] = [c]

[ax - by] = [-c]

Measure of the central angle of a minor arc is ____ the measure of the angle subtended in the corresponding major arc.

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Equal

Double

Not equal to

Triple

tanh x =

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Undefined

3a²

a²

0

x = c is a line:

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Perpendicular to x-axis

Parallel to x-axis

Perpendicular to y-axis

None of these

ax + b < c is a inequality of:

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One variable

Two variable

Three variable

Four variable

The number e denotes the _______ of the conic:

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Directrix

Vertex

Focus

Eccentricity

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2 - 7

2 + 7