Question # 1

In one hour, the hour hand of a clock turns through

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4x + 1

4x

2x³

none of these

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If the circle x²+ y²+ 2gx +2fy + c = 0 passes through the origin then

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c = 0

c = -1

c = -2

c = 1

The mid point of the line segment joining the points (a,b) and (b,a) is

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If a, b, c, d, e, f are in A.P.,then e-c is equal to

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2(c - a)

2(f - d)

2(d - c)

d - c

If n € N , then n(n+3) is always

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Multiple of 3

Multiple of 6

odd

even

How many 3 digit numbers can be formed by using each one of the digit 2, 3, 5, 7, 9 only once?

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15

24

60

120

The domain the function : f(x) = x² is given by

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R

Set of all non-negative Real numbers

R^-1

None of these

The equation x²+ y²= 0 represents

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A circle

A degenerate circle

An empty set

A st. line

i¹⁰¹=

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i

i²

-i

-1

{1, 2, 3} is _____

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an infinite set

A finite set

A singleton set

Universal set

Which of the following does not represent absolute value of a vector

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magnitude

length

norm

number

The span of a standard parabola depends upon

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x

a

y

y2

120° degrees are equal to how many radians?

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The velocity of a particle moving along a straight line is given by v = 3t + t². The acceleration of the particle after 4 seconds from the start is

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4

11

26

None

2/9,5/7∈ R,(2│9)(5│7)=10/63∈R this property is called

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Associative property

Identity property

Commutative property

Closure property w.r.t multiplication

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cos x

sec x tan x

sec²x

-cosec²x

f(x) = x is

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trigonometric function

exponential function

quadratic function

identify function

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(2.02)4 s equal to

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16

16.6496

17

18

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0

1

What is the number of elements of the power set of { }

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0

1

2

3

f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

If f(x) = (-x)²then f(-2) is

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0

2

-4

4

For each even natural number n (n²-1) is divisible by

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6

3

4

8

The transpose of a row matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

The quadratic equation 8 sec2θ - 6 secθ +1 =0 has

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Infinitely many roots

Exactly two roots

Exactly four roots

No roots

The eccentricity of the conic 9x²- 16y²= 144 is

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4/5

5/4

4/3

3/4

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