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)

The unit of area is _______:

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m

m²

m³

m/s

If 3 cm and 4 cm are two sides of a right angled triangle, then hypotenuse is:

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6 cm

7 cm

5 cm

25 cm

Every real number is also a complex number with imaginary part as ______

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1

b

O

10

The point of concurrency of three perpendicular bisector of triangle is alled__________:

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Orthocenter

Centrroid

Incenter

Circumcenter

Conjugate of real number is:

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Pure imaginary

Real

Complex

None

If y=2x+1, x=2 then y is:

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2

3

4

5

The S.S of |x-4| = -4 is:

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-8⁴

8

-16

{ }

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-2/5

2/5

5/2

What will be added in 9x²-12xy to complete the square:

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-16y²

16y²

-4y²

4y²

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 collection of well-defined distinct objects is called.

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subset

Power set

Set

None of these

In a set of observation. 5,5,7,9,9,9,9,11,11,11,11,12,12 the mode is:

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9

11

Both 9 and 11

None of these

The measure which determines the middle most observation in a data set is called.

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Median

Mode

Mean

Rang

In an equilateral triangle ABC, then side BC is trisected at D then:

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

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Frequency

Average

Mode

Median

Cto 60^o=.................

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1/2

√3/2

√3

1/√3

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

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CGS system

Sexagesimal system

Circular system

MSK sytem

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1 radian is equal to:

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57°16'45"

57°17'45"

57°18'55"

57°17'35"

The formula of grouped data of the arithmetic mean is:

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X̅ = ∑X/n

X̅ = A + ∑fX/∑X

X̅ = ∑fX/n

X̅ = l +n/f (n/2 - c)

The measure of a central angle of minor arc of a circle is _______ that of the angle substends by corresponding major arc:

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Half

Equal

Double

Triple

Factors of x² + y² are:

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(x + iy) (x - iy)

(x + y) (x - y)

(x + y) (x + y)

none

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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

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25

20

40

2a + 2b + 2c

If a_n-3 = 2n - 5 then a_n =

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2n-1

2n+1

2n+3

none

The graph of x = sin y is obtained by reflecting the graph of y = sin x about the line:

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x axis

y axis

y = x

y = -x

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scalarmatrix

diagonalmatrix

lower triangularmatrix

uppertriangularmatrix

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None

In a simultaneous throw of two dice, The probability of getting sum 3 or 11 is:

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none

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section a / an:

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Parabola

Hyperbola

Ellipse

None of these

The point (2, 5) lies the lie 3x - y + 1 = 0

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Above

Below

On

None

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Constant function

Absolute linear function

Linear function

Quadratic function

The ratio between the measure of the radial segment and the diameter of a circle is:

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2 : 1

4 : 3

1 : 2

The perpendicular distance of the line 3x + 4y + 10 = 0 from the origin is:

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0

1

2

3

Let f(x) = cos x, then f(x) is an:

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Even function

Odd function

Power function

None of these

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

Two circles of radius 3 cm and 4 cm touch each other externally. The distance between their centers is:

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1 cm

7cm

4cm

5cm

The instantaneous rate of change of y with respect to x is given by:

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The point of a parabola which is closest to the focus in the:

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Directrix

Vertex

Focus

Chord