Question # 1

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

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The Maclaurin series expansion is valid only if it is:

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Convergent

Divergent

Increasing

Decreasing

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1

2

3

0

The vertical line y'oy is called:

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x-axis

y-axis

abscissa

Ordinate

The equation x² + y² + 2x + 3y = 10 represents a:

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A pair of lines

Circle

Ellipse

Hyperbola

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sin x

cos x

sinh x

cosh x

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Unit vector

Null vector

Free vector

None of these

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integration by parts

definite integral

Differentation

None of these

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0

1

-1

2

y² = 4ax, is the standard equation of the:

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Ellipse

Parabola

Hyperbola

None of these

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28

29

Two imaginary tangents can be drawn to a circle from any point P(x₁, y₁) _______ the circle:

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Inside

On

Outside

None of these

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x with respect to y

y with respect to y

y with respect to x

x with respect to x

A pair of lines of homogeneous second degree equation ax² + 2hxy + by² = 0 are othogonal, if:

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a - b = 0

a + b = 0

a + b > 0

a - b < 0

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

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Finitely many

Two

Infinitely many

Four

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domain

range

lower limit

upper limit

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

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Straight line

Tangent line

Normal line

Vertical line

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

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Directrix

Vertex

Focus

Eccentricity

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Position vector of O

Position vector of P

Unit vector

Null vector

If the lien l is parallel to y-axis, then the slope of l is ----------------.

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0

1

-1

undefined

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