Question # 1

The point where the axis meets the parabola is called ________ of the parabola:

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Directrix

Vertex

Focus

Eccentricity

The range of the function f(x) = |x|

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domain

range

lower limit

upper limit

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(1, 1)

(1, 3)

(1, 4)

(1, 5)

The pair of lines of homogeneous second-degree equation ax² + 2hxy + by² = 0 are real and coincident, if:

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h² < ab

h²> ab

h²= ab

None of these

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4a

2a

4b

2b

Let f(x) = x², real valued function then domain of f is the set of all:

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Real numbers

Integers

Positive numbers

Natural numbers

Point of intersection of x + y = 5 & x - y = 3 is:

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(5, 5)

(4, 2)

(4, 1)

(1, 4)

f(x) is odd function. If and only if:

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f(-x) = -f(x)

f(-x) = f(x)

f(x) = 3f(-x)

f(x) = -3f(-x)

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

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Graph

Function

Cartesian product

Relation

Which one is an identity function ?

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f(x) = g(x)

f (x) = x

f(x) = 1

In the case of rotation of axes which formula is true:

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tan x + c

- tan x + c

sec x tan x + c

- sec x tan x + c

The curves obtained by cutting a __________ double right circular cone by a _______ are called conics:

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Straight line

Plane

Curve

None of these

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0

4

7

Inverse hyperbolic functions are expressed in terms of natural:

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Numbers

Exponential

Logarithms

Sines

The Maclaurin series expansion is valid only if it is:

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Convergent

Divergent

Increasing

Decreasing

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Constant

Implicit

Identity

Inverse

A line that touches the curve without cutting through it is called:

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Straight line

Tangent line

Normal line

Vertical line

If a straight line is perpendicular to y-axis, then its slope is:

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1

-1

0

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