Question # 1

a³+b³ is equal to:

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(a-b)(a²+ab+b²)

(a+b)(a²-ab+b²)

(a-b)(a²-ab+b²)

(a-b)(a²+ab-b²)

Logarithm of a negative number is equal to:

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1

0

-1

Not defined

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For solve the linear equations, if fraction are present, we multiply each side by ___________ of the denominator or eliminate them:

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LCM

HCF

Square root

Both a and b

Factors of x²-5x+6 are:

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(x+1),(x-6)

(x-2),(x-3)

(x+6),(x-1)

(x+2),(x+3)

In a parallelogram congruent parts are:

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Opposite sides

Opposite angles

Diagonals

Opposite sides and angles

Right bisectors of three sides of triangle are:

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Congurent

Collinear

Concurrent

Parallel

In parallelogram opposite sides are:

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Opposite direction

Un-parallel

Parallel/congruent

Equi-distant

If two medians of a triangle are congruent then the triangle will be ______:

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Isosceles

Equilateral

Right angled

Acute angled

Two congruent triangle are also ___________:

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Not equal

Non congruent

Proportional

Similar

The right bisector of the sides of a right triangle intersect each other ______:

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Inside the triangle

Outside the triangle

On hypotenuse

None of these

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

Each of the complex cube root of unity is:

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The square of the other

The half of the other

The cube of the other

Equal to each other

A fraction with degree of numerator less than degree of denominator:

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Equation

Improper

Identify

Proper

The point (4,-6) lies in..................quadrant.

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I

II

III

IV

Tan 90 =_________.

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√3/2

1/√3

0

undefined

Sec 270° =

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0

1

-1

Not defined

In class (10-19) , upper class limit is.

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10

19

29

14.5

In a set of data 41,43,47,51,57,52 ,59 median is:

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51

47

52

None of these

The circular region bounded by an arc of a circle and its two corresponding radial segments is called a:

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Sectorof the circle

Areaof the circle

Radiusof the circle

Circumferenceof the circle

The concept of antilogarithm is used to find the value of..............

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A.M.

G.M.

H.M

Mode

60 seconds makes ______ minute:

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1

2

3

4

If two sets have no element common, they are called:

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disjoint

over lapping

dissimilar

exhaustive

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z is purely real

z is any complex number

z is purely imaginary

real part of z = imaginary part of z

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all of these

G.M between -2i and 8i is:

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4 or -4

4i or -4i

2 or -2

none

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right angled

equilateral

isosceles

obtuse angled

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

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logic

proposition

induction

deduction

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zero

non-singular

singular

none of these

The value of ⁵C₂ is:

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1

10

20

30

The circum-radius R of a triangle is given by:

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Probability of an impossible event is:

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0

1

-1

∞

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10π

A corner point is the point of intersection of:

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x-axis & y - axis

Boundary lines

Any two lines

None

If y = f(u) and u = F(x), then:

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A line segment joining two distinct points on a parabola is called a ___________ of the parabola:

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Chord

Vertex

Focus

Directrix

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domain

range

lower limit

upper limit

A null vector is defined as a vector whose magnitude is:

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1

2

0

None of these

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The graph of the parabola y²= -4ax is symmetric about:

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x-axis

y = x

y-axis

None of these

A linear equation in two variables represents:

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Circle

Ellipse

Hyberbola

Straight line

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a cosec (ax + b)

cot (ax + b)

Gottfried Whilhelm Leibniz was a (an) ----- mathematician:

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German

English

Swiss

French

The symbol | | is used for:

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Parallel lines

Perpendicular lines

Non-parallel lines

None of these