Question # 1

The set {-1, 1} is

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Group under the multiplication

Group under addition

Does not form a group

Contains no identity element

Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always

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Positive

Negative

Real

None of these

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2 and 9

3 and 2

2/3 and 9

3/2 and 6

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0

3

9

-3

Inequalities have ______ symbol

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2

3

4

1

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0

1

2

none of these

Domain of tangent function is

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∀x∈(a,b),f(x) is increasing if

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f′(x) >0

f′(x) <0

f′′(x) >0

f′′(x) =0

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Symmetric property

Cancellation property w.r.t. multiplication

Reflexive property

Transitive property

Which of the following function form 1 to itself are bi-jective

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F(x) = x + 3

F(x) = x⁵

F(x) = 3x + 2

F(x) = x²+ x

If Z₁ = 1+ i, Z₂ = 2+3i , then |Z₁ -Z₂| =?

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√5

√7

-1-2i

√3

The set of complex numbers forms a group under the binary operation of

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0

±1

1

{0,1}

The general solution of the differential equation dy/dx = log x is

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Y = -x log x- x +c

Y = x log x + x²

Y = x log x -x +c

Y= 2x log x + 2x +c

Sin^-1 √3/2 =?

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2π/3

π/2

π/3

v/5

The line joining (1,3) to (a,b) has unit gradient then

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a-b =-2

a+b = 0

A-b =5

2a + 3b =1

If Z₁ = √-36, Z₂=√-25, Z₃= √-16, then what is the sum of Z₁, Z₂ and Z₃ ?

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√3 I

√7

-2-1

√5

If a line passes through origin then the equation of the line is

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y = m/x

y = mx

x = my

None

The angle a (0° < a< 180°) measured counterclockwise from positive x-axis to a non-horizontal straight line / is called the

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Rotation

Inclination

Radian

None

The area of circle of unit radius=

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0

1

4

π

∫sec (ax + b) tan(ax + b) dx=_______

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sec(ax + b)/a

sec² (ax + b)/2

sec(ax + b)/x

1/2

Period of Sin 2x =

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π

4π

2nπ

2π

The common difference of the sequence 7,4,1......is

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1

-3

5

0

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