Question # 1

One angle on the base of an isosceles triangle is 30° what is the measure of its vertical angle:

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30°

60°

90°

120°

A matrix is called a row matrix if it has only one _________:

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Column

Row

Diagonal

None

The hypotenuse of right angle triangle is ______ than each of the other two sides:

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Half

Double

Shorter

Longer

Point (-3,-3) lies in quadrant:

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I

II

III

IV

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

A triangle having all sides different called:

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Scalene

Right angle

Equilateral

Isosceles

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

Which of the following is associative property w.r.to addition:

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a + b = b + a

a (bc) = (ab) c

a + (b + c) = (a + b) + c

None of these

The symbol used for 1 - 1 correspondence is:

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The points are called collinear if they are situated on:

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The same line

Different lines

Intersecting

None of these

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π/6 radians = ....................

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30^o

60^o

45^o

90^o

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Rational number

Irrational number

Natural number

Real number

Cosec²θ - Cot²θ = ______________

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-1

1

0

tanθ

A histogram is a set of adjacent:

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Squares

Rectangles

Circles

The straight line that bisect the circle is called:

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Sector

Radius

Diameter

Segment

In which quadrant only Cosθ and Secθ are positive?

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I

II

III

IV

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The lengths of two transverse tangents to a pair of circles are:

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Unequal

Equal

Overlapping

If number of elements in se A is 3 and in set B is 2, then number or binary relations in A x B is.

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3

4

7

12

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

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Means

Extremes

Third proportional

None of these

3π/2 Radian =__________________

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30^o

135^o

180^o

270^o

What is the common difference of the sequence 11, 5, -1, ......... ?

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6

-6

none of the foregoing numbers

2 sin 12° sin 46° =

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cos 34° + cos 58°

sin 34° - sin 58°

sin 34° + sin 58°

cos 34° - cos 58°

Sum of all four fourth roots of unity is:

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1

0

-1

3

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{1, 2, 3}

{5, 6, 7}

{4}

The period of sin 2x is:

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π

2π

3π

sec (2π + Θ), where Θ is a basic angle will have terminal side in:

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quad. I

quad. II

quad. III

quad. IV

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2 cos α cos ß =

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sin (α + ß) - sin (α - ß)

cos (α + ß) - cos (α - ß)

cos (α + ß) + cos (α - ß)

sin (α + ß) + sin (α - ß)

tan(π + cot^-1x ) =

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If sin α = cos ß in any triangle ABC then:

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α + ß = 90°

α + ß = 180°

α + ß = 360°

α + ß

The line x = a is on the right of y - axis if:

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a > 0

a < 0

a = 0

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2 - 7

2 + 7

The condition for the line y = mx + c to be a tangent to the circle x² + y² = a² is c = _____________:

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Inverse hyperbolic functions are expressed in terms of natural:

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Numbers

Exponential

Logarithms

Sines

x = 2 is a vertical line perpendicular to _____________:

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x - axis

x - axis may be

y - axis

None of these

The symbol | | is used for:

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Parallel lines

Perpendicular lines

Non-parallel lines

None of these

The axis of the parabola x² = -4ay is:

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x = a

x = 0

y = a

y = 0

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x = a

for all x

x = 0

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

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Centroid

Ortho-center

Circums-center

In-center

ax + by < c is an inequality of:

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One variable

Threevariable

Twovariable

Fourvariable