Question # 1

The __________ bisector of an angle of a triangle divides the sides in the same ratio then it is the ratio of the lengths of the sides containing the angles:

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Internal

External

Perpendicular

None of these

General form of linear equation in two variables is:

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ax + by -m = 0

ax + by = m

ax + m = by

None of these

If (x,0) = (0,y) then (x,y) is:

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(0,1)

(0,0)

(1,1)

The region enclosed by the bounding lines of a closed figure is called the ________ of the figure.

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Parallelogram

Area

Triangle

Square

By convention if only the common logarithm are used throughout a discussion the base ________ is not written:

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e

10

1

0

If two or more than two points which lie on the same straight line are called _______points:

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Non-collinear

Collinear

Non-coplanar

Coplanar

Distance between points (-1,3) and (3,-2) is:

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5

4

2

3

The medians of a triangle are concurrent and their point of concurrency is the point of ________ of each median.

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Trisection

Bisector

Intersection

None

A rectangular _______ is the union of a rectangle and its interior:

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Interior

Region

Exterior

Perimeter

___________ Congruent triangles can be made by joining, the mid-points of the sides of a triangle:

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Three

Four

Five

Two

If b²-4ac<0, then the roots of ax²+bx+c=0 are:

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Irrational

Rational

Imaginary

None of these

π/2 radians =.....................

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30^o

45^o

60^o

90^o

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

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Means

Extremes

Fourth proportional

None

tanθ,cotθ= ..........................

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Sinθ

Sec θ

1

0

A line which has two points in common with a circle is called:

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Sine of a circle

Cosine of a circle

Tangent of a circle

Secant of a circle

Which mathematical expression is correct:

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The distance of any point of the circle to its center is called:

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radius

diameter

a chord

an arc

Tangents drawn at the ends of diameter of a circle are _______ to each other:

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Parallel

Non parallel

Collinear

Perpendicular

The solution set of equation 4x²-16=0 is:

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{4}

Mean is affected by change in;

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Place

Scale

Rate

tan 60^o = ...............

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1/2

√3/2

√3

1/√3

No. of diagonals can be formed by joining the vertices of the polygon having 12 sides ?

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70

54

70

73

y = tan-1 x if and only if x = tan y, where:

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-1 < x < 1 and - π < y < π

A^-1 exists if A is:

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singular

nonsingular

symmetric

none

If α, ß, Γ are the angles of a oblique triangle, then:

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α = 90°

ß = 90°

Γ = 90°

none of these

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3

1

4

None

Solution set of the equation x² - 3x + 2 = 0 is

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{-1, 2}

{1, -2}

{-1, -2}

{1, 2}

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archimedean property

transitive property

multiplicative property

Number of ways of arranging 5 keys in a circular ring is:

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12

24

6

5

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

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90°

30°

60°

0°

If the equation of the parabola is y² = - 4ax, then opening of the parabola is to the ______ of the y-axis:

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Left

Upward

Right

Downward

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cosech x coth x

-cosech²x

-cosech x coth x

cosech²x

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Which of the following is a vector quantity ?

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Work

Temperature

Distance

Displacement

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The point of intersection of the medians of a triangle is called:

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Centroid

Ortho-center

Circums-center

In-center

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

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28

29

The law of parallelogram of addition was used by Aristotle to describe the combined action of :

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One force

Two forces

Three forces

Four forces

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