Question # 1

If a, b∈R then only one oaf a = b or a<b or a>b holds is called:

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Trichotomy Property

Transitive Property

Additive Property

Multiplicative Property

Any point of the ________ of a line segment is equidistant from its end points:

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Altitude

Medians

Angle Bisector

Right Bisector

The logarithm of unity to any base is:

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1

10

e

0

Factorize 3x²-75y²

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(x+3)(x+75y)

3(x+25y)(x-25y)

3(x-25y)(x-25y)

3(x+5y)(x-5y)

log_ba x log_c b can be written as

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log_a c

log_ca

log_ab

log_bc

Altitudes/bisectors of isosceles triangle are congruent:

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4

2

3

None of these

Number of lines can be drawn from two points:

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1

2

3

unlimited

H.C.F of p³q - pq³ and p⁵q² - p²q⁵ is _________:

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pq(p²-q²)

pq(p-q)

p²q²(p-q)

pq(p³-q³)

A line is called _______ of a line if it bisects perpendicularly.

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Angle Bisector

Perpendicular Bisector

Median

Altitude

The diagonals of a parallelogram _______ each other:

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Bisect

Trisect

Bisect at right angle

None of these

Right angle means angle measures:

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30°

60°

90°

120°

Number of elements in power set of {1,2,3}

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4

6

8

9

Cotθ = __________

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Sinθ/cosθ

1/cosθ

Cosθ/Sinθ

1/sinθ

A data in the form of frequency distribution is called.

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Grouped data

Ungroup data

Same

None of these

A cumulative frequency table is also called:

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Frequency distribution

Data

Less than cumulative frequency distribution

Sec 270° =

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0

1

-1

Not defined

If the distance between the centres of two circles is equal to the sum of their radii, then the circles will:

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Intersect

Do not intersect

Touch each other externally

Median from the data 2.3,2.7,2.5,3.1 and 1.9 Is.........................

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2.3

2.5

2.7

2.9

The number of time a value appears on a set of data is called:

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Frequency

Average

Mode

Median

Tan 90° = __________

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1

0

Undefined

None of these

A histogram is a set of adjacent:

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Squares

Rectangles

Circles

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If the Discriminant of a quadratic equation is a perfect square, then roots are:

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real and equal

complex

rational

irrational

If A = {1, 2, 7, 9}, B = {1, 4, 7, 11}:

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disjoints sets

equal sets

overlapping sets

complementary sets

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2x

x²

1

none of these

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

To draw general conclusions from a limited number of observations is called:

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logic

proposition

induction

deduction

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A and B are power sets

A and B are disjoint sets

A and B are super sets

A and B are equal sets

If the elevation of the sun is 30°, the length of the shadow cast by a tower of 150m height is:

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none

Which one is a quadrant angle ?

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60°

180°

120°

30°

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diagonal matrix

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2

4

6

8

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a + c = b + d

a + b = c + d

a - b = c - d

None of these

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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2 - 7

2 + 7

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