Question # 1

The fixed point of the conic is called:

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Directrix

Vertex

Focus

None of these

y - ordinate of the centroid of triangle with vertices A(-2, 3) B(-4, 1), C(3, 2) is:

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3

1

2

0

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sech x tanh x

-sech x tanhx

sech² x

-sech²x

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equal to each other

not equal to each other

nearly equal to each other

None of these

The distance between two points P₁ (x₁, y₁) and P₂ (x₂, y₂) on the co-ordinate plane is given by:

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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

A line segment joining two distinct points on a parabola is called a ___________ of the parabola:

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Chord

Vertex

Focus

Directrix

Equation of axis of the parabola x² = 4ay is:

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x = 0

x = a

y = 0

y = a

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Constant

Implicit

Identity

Inverse

The conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

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domain

range

lower limit

upper limit

If the graph of f is entirely below the x-axis, then the definite integral is:

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Positive

Positive or negative

Negative

Positive and negative

The function y = ln x is a/an -------------- function of x.

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Constant

Explicit

Exponential

Logarithmic

The graph of 2x + y < 2 is the open half plane which is ________ the origin side of 2x + y = 2:

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At

Not an

On

None of these

The non-negative inequalities are called:

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Parameters

Constants

Decision variables

Vertices

An angle in a semi-circle is:

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0°

90°

180°

60°

Two arcs of two different circles are congruent if:

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The circles are congruent

The corresponding central angles are congruent

Both a and b

None of the above

Let f(x) = x² + 3, then domain of f is:

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Set of all integers

Set of natural numbers

Set of real numbers

Set of rational numbers

General form of equation of line is:

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ax - by + c = 0

ax + by - c = 0

ax + by + c = 0

ax - by - c = 0

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