Question # 1

tan^-1(1/4) + tan^-1(2/9) is equal to

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1/2 cos^-1(3/5)

1/2 sin^-1(3/5)

1/2 tan^-1(3/5)

tan^-11/2

Which is not a half plane

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ax + by < c

ax + by > c

Both A and B

None

∀x, y ∈ R, either x = y or x > y or x < y is

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Transitive property

Reflexive property

Trichotomy property

None of these

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3

1

2

4

The set of even prime numbers is

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(2,4,6,8,10}

{2,4,6,8,10,12}

{1,3,5,7,9}

{2}

An unbiased die is thrown. Then the probability of getting a prime is

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1/2

2/3

3/4

None of these

Every recurring decimal represents

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A natural number

A rational number

An irrational number

A whole number

Cosec 60° = ______

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The range of the principal sine function is

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The roots of the equation 4x - 3.2x+2 + 32 = 0 would include

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1 and 3

1 and 4

1 and 2

2 and 3

How many arrangements of the letters of the word PAKISTAN cab be made

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If the distance of any point on the curve from any of the two lines approaches zero then it is called

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Axis

Directrices

Asymptotes

None

The set Q

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Forms a group under addition

Does not form a group

Contains no additive indentity

Contains no additive inverse

Vector additon is:

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Commutative

Associative

Commutative and Associative

None of these

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π / 3

π / 4

π / 6

0

Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is

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2

3

4

1

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2

4

8

12

In R the left cancellation property w.r.t addition is

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If y=f(x) is a function then y is called

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dependent variable

independent variable

constant

none of these

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The end points of the major axis of the ellipse are called its

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Foci

Vertices

Co - vertices

None of these

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6

360

120

24

The approximate increase in the area of a circular disc if its diameter increased form 44cm to 44.4cm is

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0.4cm

8.8πcm

17.6 πcm

35.2πcm

The general solution of tan 3x = 1 is

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The set {Z\{0}} is group w.r.t

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Addition

Multiplication

Division

Subtraction

In quadratic equation, if the replacement of y with -y leaves the equation unchanged, then the graph is

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Straight line

Circle

Hyperbola

Symmetric w.r.t.0

The obtuse angle between lines = -2 and y = x +2 is

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120°

135°

150°

140°

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