Question # 1

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

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Improper rational fraction

Proper rational fraction

Polynomial

Equation

The equation of line passing through intersection of line x = 0 and y = 0 and the point (2,2) is

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y = x

y = x - 1

y = x + 1

If the terminal rays of an angle falls on any axis then the angle is called

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Allied angle

Acute angle

Standard position

Quadrantal angle

Domain of tan x is ______

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Which of the following represents a vector

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(x, y)

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The distance of the point (-2,3) from x-axis is

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-2

2

3

1

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1

-1

sin^-1[-1/2] = ______

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The statement that a group can have more than one identity elements is

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True

False

Fallacious

Some times true

Ifπ≤x≤2π, then cos-1 (cos x)=

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cos x

-x

1/x

-x

∀a,b, c ε R,a +c = b + c = > a = b

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Reflexive property

Symmetric property

Cancellations property w.r.t. addition

Transitive property

How many numbers are there between 103 and 750 which are divisible by 6

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125

107

108

113

The length of the tangent from (2, 1) to the circle x²+ y²+ 4y + 3 = 0 is

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a sin(ax + b) + c

- a sin(ax + b) + c

If E = { } , then P(E)

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∅

{ }

{(2),(4),(6)....}

(∅)

The fifth term of the sequence a_n= 2n + 3 is ______

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13

-13

8

3

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The law of sines

The law of tangents

The pythagorus theorem

None of these

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The minimum value of the quadratic function f(x) = x2 +6x -2, is

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11

6

-11

13

The domain of y = cos-1 x is

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-∞ < x < ∞

-1≤ x≤ 1

x≤ -1 or x ≥ 1

None of these

The probability of getting a number between 1 and 100 which is divisible by 1 and itself if only is

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1 / 4

1 / 2

3 / 4

25 / 98

If y = 2x , then

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y1 -ln2y = 0

y2-(ln2)2 y = 0

y2-(ln2)y1 = 0

All are correct

Rank of matrix [1 3 5 0] is

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1

3

2

4

∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a

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Symmetric property

Cancellation property w.r.t multiplication

Reflexive property

Transitive property

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N

r

2r

π

The coefficient of x¹⁸ in (ax⁴-bx)⁹ after expansion is

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84a³ b⁶

22a³b⁶

27a⁴b⁵

28a³b⁶

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