Question # 1

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f(x)

ln |f(x)|

f'(x)

ln |f'(x)|

There are _______ ordered pairs that satisfy the inequality ax + by > c.

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Finitely many

Two

Infinitely many

Four

If 2 and 2 are x and y-components of a vector, then its angle with x-axis is:

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30°

45°

60°

90°

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0

1

-1

2

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x = a

for all x

x = 0

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

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1

-1

0

undefined

Sir Isaac Newton was a(an) --------- mathematician.

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German

French

Swiss

English

The condition for the line y = mx + c to be a tangent to the circle x² + y² = a² is c = _____________:

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Which are the following triples can be direction angles of a single vector:

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45°,45°,60°

30°,45°,60°

45°,60°,60°

30°,30°,30°

The vertex of parabola (x - 1)² = 8 (y + 2) is:

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(1, -2)

(0, 1)

(-1, -2)

(1, 2)

Measure of the central angle of a minor arc is ____ the measure of the angle subtended in the corresponding major arc.

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Equal

Double

Not equal to

Triple

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2

1

The axis of the parabola x² = 4ay is:

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x = 0

x = -a

y = 0

y = -a

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Derivative

Differential

Integral

None of these

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

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Directrix

Vertex

Focus

Eccentricity

X-coordinate of any point on Y-axis:

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0

x

y

1

x = 3 cos t, y = 3 sin t represent

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Line

Circle

Parabola

Hyperbola

Joint equation of y + 2x = 0, y - 3x = 0 is:

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(y+2x)(y-3x) = 0

(y-2x)(y-3x) = 0

(y+2x)(y+3x) = 0

(y-2x)(y+3x) = 0

If the equation of the parabola x² = 4ay, then opening of the parabola is upward of the:

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x-axis

y-axis

Major axis

Minor axis

x = a is a vertical line perpendicular to __________.

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x - axis

x - axis may be

y - axis

None of these

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

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