Question # 1

log (mⁿ) can be written as:

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(log m)ⁿ

m log n

n log m

log (mn)

Logarithm of a negative number is equal to:

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1

0

-1

Not defined

All three altitudes of __________ are concurrent:

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Triangle

Square

Rectangle

Left angle

The region enclosed by the bounding lines of a closed figure is called:

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Volume

Length

Area

None of these

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A ray has ________ end points:

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No

One

Two

Three

Conjugate of real number is:

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Pure imaginary

Real

Complex

None

Right bisectors of sides of an obtuse angled triangle meet

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Inside the triangle

On hypotenuse

On base

Outside the triangle

(a+b)²+(a-b)² =

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4ab

a+b

2(a²+b²)

ab

Write 4^2/3with radical sign

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The interior of a rectangle is the part of the plane enclosed by the ________:

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Square

Triangle

Rectangle

Parallelogram

If a chord of a circle subtends a central angle of 60°, then the length of the chord and the radial segment arc:

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Congruent

Incongruent

Parallel

Perpendicular

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

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Means

Extremes

Third proportional

None of these

The tangent to a circle and the radial segment joining the point of contact and the __________ are perpendicular to each other:

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Chord

Centre

Tangent

Arc

Sin 60^o = ................

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1/2

√3/2

2

2/√3

π radians = ............

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0^o

90^o

180^o

360^o

If R = {(0,0),(8,2),(10,3),(14,12)}, then Dom R = ___________

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{0,8,10,14}

{0,2,3,12}

{8,10,4}

{0,10}

A part of the circumference of a circle is called a/an :

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angel

are

circumference

radian

Mean is affected by change in;

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Place

Scale

Rate

The straight line joining any two points of the circumference is called:

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Segment of circle

Arcof circle

Chordof circle

Tangentof circle

π/2 radians =.....................

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30^o

45^o

60^o

90^o

Sec 30^o = .....................

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1/2

√3/2

2

2/√3

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diagonal matrix

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With usual notations for triangle R equals:

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To convert any angle in radians into degrees, we multiply the measure by:

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integer

rationalnumber

irrationalnumber

naturalnumber

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

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The next term of the sequence-1, 2, 12, 40, .........is:

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112

212

144

none

If sin Θ + cosec Θ = 2, then sin² Θ + cosec² Θ =

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2

4

0

8

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A.P

G.P

H.P

none

The period of sec 2x is:

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p is false and q is true

both p and q are false

p is true and q is false

both p and q are true

If r is the radius of any circle and C its center, then any point P(x₁, y₁) lies on the circle only if:

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|CP| < r

|CP| > r

|CP| = r

None of these

If y is an image of x under the function f, we denote it by:

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x = f(y)

x = y

y = f(x)

f(x, y) = c

For any point (x, y) on x-axis:

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y = 1

y = 0

y = -1

y = 2

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0

2

3

1

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

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0

1

2

4

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Constant

Implicit

Identity

Inverse

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Unit Vector

Null vector

Position vector

None of these

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a

2b

b

2a

y² = 4ax, is the standard equation of the:

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Ellipse

Parabola

Hyperbola

None of these