Question # 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

Mid-point of the line segment joining A (8,0) and (0,12) is:

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(8,-12)

(4,6)

(4,0)

(8,0)

A triangle of all three sides are equal is called _________ triangle:

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Isosceles

Scalene

Right angled

Equilateral

A matrix is called column matrix if it has only one:

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Column

Row

Diagonal

None

Equality of ______ ratio is defined as proportion:

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Two

Three

Four

Five

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

A surd which contain a single term is called _______ surd.

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Trinomial

Monomial

Binomial

Rational

The distance formula for two distinct points A(x₁,y₁) and B(x₂,y₂) are:

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(a-b)2

(a+b)2

a+b

a-b

Mid point of the points B (0,1) and A (8,0) is:

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(0,6)

(4.-6)

(8,-12)

Distance between points (6,3) and (-3,3) is _________:

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45

9

O∩ E = ....................

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∅

O

E

Z

One minute is denoted by:

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1'

1''

1°

60'

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The measures that are used to determine the degree or extent of variation in a data set are called:

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central value

A.M

measures of dispersion

median

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

The number of elements in the power set of {1,2,3,4}.

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4

8

16

0

The circumference of a circle is called:

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Tangent

Chord

Boundary

Segment

20° =

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360'

630'

1200'

3600'

In a cumulative frequency polygon freqncies are plotted against.

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Midpoints

Upper class boundaries

Class limits

Frequency

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

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1/2

√3/2

√3

1/√3

Sum roots of 4x²-3x+6=0:

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Rational numbers are:

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repeating decimals

terminatingdecimals

periodicdecimals

all of these

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1

-5

-1

none

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A is superset of B

B is superset of A

A is subset of B

A is equivalent to B

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Reflexive property

Symmetricproperty

Transitiveproperty

Trichotomyproperty

A^-1 exists if A is:

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singular

nonsingular

symmetric

none

tan^-1(-√3) is:

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cos (2sin^-1 x) =

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1- 2x²

1 + 2x²

2x²- 1

x²- 1

A circle passing though the vertices of a triangle is known as:

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If P(x) is a polynomial of degree m and Q(x) is a polynomial of degree n, the product P(x) . Q(x) will be a polynomial of degree:

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m . n

m - n

m + n

m × n

If a polynomial P(x) = x2 + 4x2 - 2x + 5 is divided by x - 1, then the reminder is:

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8

-2

4

5

The fixed point of the conic is called:

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Directrix

Vertex

Focus

None of these

If the equation of the parabola x² = 4ay, then opening of the parabola is upward of the:

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x-axis

y-axis

Major axis

Minor axis

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a

2b

b

2a

The ordered pair _____ is a solution of the inequality x + 2y < 6.

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(3, 3)

(1, 1)

(4, 4)

(5, 5)

A parallelogram is a rhombus if and only if its diagonals are:

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Parallel

Perpendicular

Equal

None of these

cosh^-1x =

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The symbol y = f(x) i.e. y is equal to f of x, invented by Swiss mathematician-----------:

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Euler

Cauchy

Leibniz

Newton

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One variable

Three variable

Two variable

Four variable

The point of intersection of internal bisectors of the angles of a triangle is called:

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Centroid

Ortho-centers

Circums-center

In-center

The radius of circle x² + y² + ax + by + c = 0 is:

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None

X-coordinate of any point on Y-axis:

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0

x

y

1