Question # 1

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

The relation y = log_zx implies:

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xy=z

zy=x

xz=y

yz=x

A rectangular region can be divided into ________ triangular regions in many ways:

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4

2

2 or more than 2

5

A triangle has _____ angles:

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1

2

3

4

Perpendicular to a line from an angle of___________:

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30°

60°

90°

120°

∀ a∈ R⇒ a = a is __________ property:

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Reflexive

Symmetric

Transitive

Additive property

A line, through the mid-point of one side, parallel to another side of a triangle, ________ the third side.

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Intersects

Trisects

Bisects

Parallel

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

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-16b²

16b²

-4b²

4b²

__________ congruent triangles can be made by joining the mid-points of the sides of a triangle:

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Three

Four

Five

Two

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A line segment has only ______ mid-point:

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four

two

three

one

In a class of frequency distribution 14 - 18, the 18 is:

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Upper class limit

Lower class limit

Class interval

All of these

The fourth proportional w of x : y::v : w is:

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xyv

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Proper fraction

Rational fraction

Improper fraction

Irrational fraction

Product of cube roots of unity is:

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0

1

-1

3

The identity (5x + 4)² = 25x² + 40x + 16 is true for:

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One value of x

Twovalue of x

All values of x

None of these

A circle of any radius can be constructed by rotating a compass about:

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A chord

An arc

The straight line

A fixed point

Geometric mean of 2,4,8 is......................

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2

4

8

3

tanθ,cotθ= ..........................

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Sinθ

Sec θ

1

0

The opposite angles of any quadrilateral inscribed in a _______ are supplementary:

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Circle

Square

Hexagon

Rectangle

Any chord divides a circle into two:

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Parts

Segments

Sectors

Shapes

The chord length of a circle subtending a central angle of 180° is always:

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Less than radial segment

Equal to the radial segment

Double of the radial segment

None of these

The additive inverse of a real number is a:

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0

-a

a

No. of signals made by 4 flags of different colors using 2 flags at a time:

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6

12

60

none

The roots of the equation 25x² - 30x + 9 = 0 are;

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rational

irrational

equal

complex

sin5Θ + sin3Θ is equal to:

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2cos 2Θ sin Θ

-2 cos 4Θ sin Θ

-2 sin 4Θ cos Θ

2 sin 4Θ cos Θ

The real part of the complex number a + bi is:

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b

-b

a

-a

The period of tan 3x is:

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In triangle ABC, If Γ = 90° then:

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b = c + a

sin (α - ß) =

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B

A

none of these

cos(tan^-1∞) =

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0

∞

1

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5

-5

-4

4

If the equation of the parabola is y2 = 4ax, then opening of the parabola is to the right of the:

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x-axis

y = x

y-axis

x + y =0

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c

0

1

-c

Point (5, 6) lies ..... the circle x² + y² = 81:

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Outside

Inside

On

None of these

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At

Not on

On

None of these

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0

-1

1

2

x² + y² = 4 is:

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Function

Not a function

Ellipse

Line

The vertex of the parabola y² = -4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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Position vector

Null vector

Unit vector

None of these

The distance between the center of a circle and any point of the circle is called:

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Tangents

Secant

Diameter

Radius

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4a

2a

4b

2b