Question # 1

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30°

45°

60°

75°

The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

Which of the following is a scalar

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weight

force

speed

momentum

The area of a sector with central angle of 0.5 radians in a circular region whose radius is 2m is

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sin (α -β)=

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sinαcosβ- cosαsinβ

sinαcosβ+ cosαsinβ

sinαcosα- cosβsinβ

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

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16

256

64

1024

f(x) = sin x is:

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an odd function

an even function

an implicit function

an exponential function

In set builder notation the set {0, 1, 2, ............, 100} can be written as

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An expression

Rational fraction

Equation

Identity

x is a member of the set {-1,0,3,5} y is a member of the set {-2,1,2,4} which is possible?

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x- y =-6

x -y < -6

x -y > 6

None

What is the conjugate of -7 -2i ?

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-7 + 2i

7 + 2i

7-2i

√53

If i,m,n are the direction cosines of a vector O̅P̅ then

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I² + m² + n² =0

I² - m² + n² =1

I² + m² + n² =1

I² + m² - n² =0

The number of diagonals of a six sided figure are

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9

6

12

3

Every prime number is also

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Rational number

even number

Irrational number

multiple of two numbers

∫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

A function F(x) is called even if

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F(x) = F(-x)

F(x) = -F(x)

2F(x) = 0

Domain of Cosecθ is

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is R but θ= nπ

is R but θ ≠ nπ

is R but θ ≠ 2nπ

is R but θ ≠ nπ/2

The sum of the series 1+5+9+13+17+21+25+29 is:

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10 cm

20 cm

30 cm

40 cm

If y = (ax)^m + b^m, then dy/dx equals

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m (ax)^m x^m-1

ma^m x^m-1

m a^m x^m-1

m a^m x^m-2

d/dx (√x) =

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2√x

1/√x

1/2√x

None of these

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