Question # 1

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x = c is a vertical line parallel to __________.

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x-axis

y-axis may be

y-axis

None of these

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The axis of the parabola y² = -4ax is:

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x = a

x = 0

y = a

y = 0

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x = 0

y = -a

y = 0

y = -a

If y is an image of x under the function f, we denote it by:

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x = f(y)

x = y

y = f(x)

f(x, y) = c

If the equation of the parabola is x² = 4ay, then opening of the parabola is to _______ of the x-axis:

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Left

Upward

Right

Downward

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90°

30°

60°

0°

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-cosec x cotx

cosec² x

-cosec²x

cosec x cotx

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x = a

for all x

x = 0

The non-negative inequalities are called:

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Parameters

Constants

Decision variables

Vertices

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0

2

1

-1

The order (or sense) of an inequality is changed by ________, it each side by a negative constant.

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Adding

Subtracting

Dividing

None of these

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Position vector

Null vector

Unit vector

None of these

The point of intersection of the altitudes of a triangle is called:

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Centroid

Ortho-center

Circums-center

In-center

ax + b > c is an inequality of:

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One variable

Three variable

Two variable

Four variable

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

ax + by + c = 0 has matrix from as:

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|ax + by| = |-c|

[ax + by ] = [c]

[ax - by] = [-c]

The derivative of x with respect to y is given by:

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Perpendicular dropped from the center of a circle on a chord _______ the chord:

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Normal

Bisects

Equal to

None of these

The conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

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