Question # 1

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-8

-4

-2

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1

2

3

4

_______ of rectangle are congruent:

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Diagonals

Heights

Bases

None of these

HCF of a³+b³ and a²-ab+b² is:

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a+b

a²-ab+b²

(a-b)²

a²+b²

The right bisectors of the three sides of n triangle are________:

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Congruent

Collinear

Concurrent

Parallel

There exists a unique real number 1, is called ________ in multiplication:

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Multiplicative inverse

Additive inverse

Multiplicative identity

Additive identity

LCM of 15x² , 45xy and 30xy is:

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90xyz

90x²yz

15xyz

15x²yz

_________ altitudes of equilateral triangle are congruent:

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One

Two

Three

Four

How many (1-------1) correspondence can be established between two triangles:

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3

4

5

6

The first mathematician who gave the idea of algorithm was:

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Henry Briggs

John Napier

Musa Al Khwarizmi

Jobst Burgi

If the bisector an angle of a triangle bisects the side opposite to it, The triangle is __________:

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Scalene

Acute

Isoseles

Right angle

The system of measurement in which angle is measured in radian is called.

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C.G.S System

Sexagesimal system

M.K.S.System

circular system

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Radical equation

Reciprocal equation

Exponential equation

None of these

1+tan²θ=________

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Sin²θ

Cos²θ

Cosec²θ

Sec²θ

The boundary of a circle is called:

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Circumference

Arc

Line

Area

Sec²θ__________________

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1-Sin²θ

1-tan²θ

1 + Cos²θ

1-tan²θ

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

Coding formula of group data of the arithmetic mean is:

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X̅ = ∑fX/∑f

X̅ = ∑fD/∑f

X̅ = A + ∑fu/∑f x h

X̅ = A + ∑fu/∑f

A fraction in which the degree of the numerator is greater or equal to the degree of denominator is called:

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A proper fraction

An improper fraction

An equation

Algebraic relation

The length of a chord and the radial segment of a circle are congruent, the central angle made by the chord will be:

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30°

45°

60°

75°

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4

3

1

0

45°= ________ radian.

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π/3

π/4

π/6

π/2

cos (2sin^-1 x) =

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1- 2x²

1 + 2x²

2x²- 1

x²- 1

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3×3

3×2

2×1

2×3

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x = 0

y = 0

x = 0 and y = 0

x = 0 or y = 0

The lengths of the sides of a triangle are proportional to the sines of the opposite angles to the sides. This is known as:

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The law of sines

The law of cosines

The law of tangents

The fundamental law

If tan Θ > 0 and sin Θ < 0 then terminal arm of the angle lies in quadrant:

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I

II

III

IV

Arithmetic series is only possible if:

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|d| = 1

|d| < 1

|d| > 1

none

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The number of diagonals of a polygon with n sides is:

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none of these

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rationalnumber

irrationalnumber

naturalnumber

wholenumber

A.M between 1 + x - x² and 1 + x + x² is:

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1 + x²

1 + x

2

none

(a+b) x = ax + bx is:

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The vertex of the parabola x² = 4ay is:

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(-a, 0)

(0, a)

(0, -a)

(0, 0)

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Integral

Indefinite integral

Differential

Definite integral

If the cutting plane is slightly tillted and cuts only one nappe of the cone, then the section is a / an:

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Ellipse

Circular cone

Circle

Point circle

X-coordinate of any point on Y-axis:

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0

x

y

1

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x - axis

z - axis

y - axis

None of these

-4 < y < 4 is the solution of the following:

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y = 5

y = 3

y = -4

y = 4

The term dy (or df) = f '(x) dx is called the __________ of the dependent variable y.

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Differentiation

Integration

Differential

None of these

Which one is not an exponential function ?

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The graph of 2x + y < 2 is the open half plane which is ________ the origin side of 2x + y = 2:

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At

Not an

On

None of these

The focus of the parabola y²=4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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Free vector

Unit vector

Null vector

None of these