Question # 1

Every relation, which can be represented by a linear equation in two variables, represents a

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Relation

Cartesian product

Function

Graph

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sin h x

cos h x

sec h x

cosec h x

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2

0

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(1,7/3)

(1, 7/5)

(1, 11/7)

(1, 3/5)

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If y is an image of x under the function f, then we write

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y = f(x)

x = f(y)

y = x

none of these

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

f(x) = 3x/x² + 1 is:

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an even function

an odd function

an even and implicit function

neither even nor a odd

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2

6

If f (x) is defined and continuous then f (x) is always

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Rational function

Trigonometric function

Logarithmic function

All are correct

Express the perimeter P of square as a function of its area A?

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P = 4√A

P =√A

P = 2A

P =π√A

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0

1

2

An even function is symmetric about the line

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y = x

x = 0

y = -x

y = 0

f(x) = C is

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identity function

constant function

linear function

quadratic function

For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?

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3a2

2a2

2a

-7a

For f(x) = x² + px +1, if f(3) = 3 then P =

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3/7

-2/5

-7/5

-7/3

cos h²x + sin h² x

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an even function

an odd function

an even and implicit function

neither even nor a odd

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1/8

1/2

1/4

1/6

If f(x) = x²- x then f(-2) is

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4

6

2

0

A function in which the variable appears as exponent is called:

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An identity function

A logarithmic function

an exponential function

A rational function

f(x) = 3x⁴ -2x² + 7 is:

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an even function

an odd function

an even and implicit function

neither even nor a odd

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sin h x

cos h x

tan h x

cot h x

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x = secθ,y = tanθ are the parametric equations of

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Circle

Hyperbola

Ellipse

parabola

The domain of f(x) = log x is

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[0,∞]

(0,∞)

[0,∞[

[∞,∞]

if the value of the sphere, v =4/3πr²^, then the which of the following statement is true?

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r is the function of v

v is the function ofπ

π is independent variable

None of these

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

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-2

-1

1

2

f(x) = 2^x+ 3 . 2^2x+ 5 is

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trigonometric function

algebraic function

exponential function

logarithmic function

If the function y=2x -3, what is the preimage of 11?

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11

7

5

2

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