Question # 1

__________ points determine a line:

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2

3

4

5

The _______ of a right angle triangle is longer than each of the other two sides:

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Hypotenuse

Base

Perpendicular

None of these

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A line parallel to on side of a triangle and intersecting the other two sides divide then _______

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Perpendicularly

Parallelly

Proportionally

Similarly

_________ has unit:

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length

width

area

ratio

Diagonals of a parallelogram cut each other in the ratio:

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1:1

2:1

3:1

4:1

H.C.F of x-2 and x²+x-6 is _______:

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x²+x-6

x+3

x-2

x+2

In any triangle bisectors of __________ are concurrent:

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Vertices

Sides and vertices

Angles

None of these

A __________ region in the union of a triangle and its interior:

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Triangular

Plane

Parallelogram

None of these

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3-by-2

2-by-3

1-by-3

3-by-1

Set of Real numbers =

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Q

Q'

QႶQ'

QUQ'

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The extent of variation between two extreme observations of a data set is measured by:

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Average

Range

Quartiles

If A is subset of U, then (A^c)^c= .........

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A

A^c

U^c

∅

In which quadrate all trigonometric ration are positive?

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I

II

III

IV

A Deviation is defined as a difference of any value of the variable from a:

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Constant

Histogram

Sum

Cos 60^o =.................................

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1/2

√3/2

2

2/√3

The tangent and radius of a circle at the point of contact are:

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Parallel

Not perpendicular

Perpendicular

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An improper fraction

An equation

A proper fraction

None of these

The distance of a point inside the circle from its centre is ______ than the radius:

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Greater

Equal

Shorter

Less

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

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Chord

Diameter

Corners

Arc

1/2 sosec 45^o

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1/2√2

1/√2

√2

√3/2

Amplitude of sin x is:

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R

[-1,1]

0

1

sin (α - ß) =

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A circle which touches one side of a triangle externally and the other two produces sides internally is known as:

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If sin α < 0 and cos α > 0, then α lies in:

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I

II

III

IV

If set A = {1, 2, 3} and B = {1, 2, 3} then sets A and B are:

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not equal

equal

disjoint

overlapping

A declarative statement which is either true or false but not both is called:

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logic

proposition

induction

deduction

A numbers exceeds its square root by 6, the number is:

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6

3

9

none of these

In any triangle ABC, law of sines is:

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A clock strikes once when its hour hand is at one, twice when it is at two, and so on. How many times does the clock strike in ten hours ?

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55

78

66

46

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5

-5

-4

4

A set containing finite number of elements is called:

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nullset

superset

finiteset

infiniteset

The pair of lines of homogeneous second-degree equation ax² + 2hxy + by² = 0 are real and coincident, if:

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h² < ab

h²> ab

h²= ab

None of these

Notation Df(x) for derivative was used by:

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Cauchy

Newton

Leibniz

Lagrange

The point of intersection of the perpendicular bisectors of a triangle is called:

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Centroid

Ortho-center

Circums-center

In-center

Which one is an exponential function ?

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If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section a / an:

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Parabola

Hyperbola

Ellipse

None of these

A line segment whose end points lie on the circle is called a __________ of the circle.

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Radius

Chord

Diameter

None of these

The number e denotes the _______ of the conic:

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Directrix

Vertex

Focus

Eccentricity

Which are the following triples can be direction angles of a single vector:

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45°,45°,60°

30°,45°,60°

45°,60°,60°

30°,30°,30°

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0

A line segment having both the end-points on a circle and not passing through the center is called a:

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A chord

A secant

A diameter

None of these

The ratio in which the line segments joining (2, 3) and (4, 1) is divided by the line joining (1, 3) and (4, 3) is:

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2 : 1

3 : 1

1 : 2

1 : 1