Question # 1

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I

|A|

|A| I

None of these

Sum of all the four forth roots of unity is

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1

-1

i

0

The roots of the equation ax²+ bx + c = 0 are real and equal if

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b²- 4ac < 0

b²- 4ac = 0

b²- 4ac > 0

None of these

The period of the function csc x/4 us

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4x

π/4

8π

π/8

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(x³- 3x²)⁸+ c

3x²- 6x + c

An equation containing at least one derivative of a depends variable with respect to independent variable is a (an)

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Implicit equation

Differential equation

General equation

None of these

A conditional is regarded as false only when the antecedent is true and consequent is

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True

False

Known

Unknown

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-cosec²x

-sec²x

- cosec x cot x

cosec x

For all points (x,y) in second quadrant

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x > 0 , y < 0

x > 0 , y > 0

x < 0 , y < 0

x < 0 , y > 0

Domain of 1+cot2θ=csc2θ is

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[0,π]

R-{x/x=nπ,n∈ z}

(-∞,+∞)

[-1,1]

The behavior of trigonometric function is called

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Continuity

Discontinuity

Periodicity

Smoothness

We solve the system of non-homogeneous linear equations by

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a and b

b and c

c and a

a,b and c

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The point on y²= 4ax nearest to the focus has its abciassae equal to

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-a

a

a/2

0

The area enclosed between the graph y = x²-4x and the x- axis is:

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20/3

41/3

32/3

25/3

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If a_n= 2n -3, write the first four terms

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-3, -1, 1, 3

1, 3, 5, 7

-1, 1, 3, 5

None of these

If 0 = {1,3,5.......}, then n (0) =

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99

odd integers

Even numbers

Infinite

If the angle between two vectors with magnitude 6 and 2 is 60° when their scalar product is

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12

6

3

0

Z is a group under

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Subtraction

Multiplication

Addition

None of these

The points of intersection of the line y = 2x -3 and the circle x²+ y² - 3x =2y -3 = 0 are:

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two

three

less thean two

not intersect

∫sin(ax+b) dx is equal to:

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1/2a cos (ax + b)

-1/a cos (ax +b)

1/a cos (ax +b)

1/a ln (ax + b)

A function from X to X is denoted as

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f : X to Y

f : Y to Y

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If the intersection of two sets is non-empty, but either is a subset of other are called

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Disjoint sets

Over lapping

Equal sets

None of these

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all

The n numbers A₁,A₂,A₃,.....A_nare called an arithmetic means between a and b if a.A₁,A₂,A₃.....A_n, b is ______

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An arithmetic series

An arithmetic sequence

A geometric sequence

A harmonic sequence

Which of the following is a quadrantal angle

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100°

200°

170°

270°

The straight line passing through the focus and perpendicular to the directrix of the conic is known as its

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Tangent

axis

Focal chord

major or manor axis

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6x + 2 + c

6x + x²+ c

6x³+ x²+ x

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