Question # 1

The number e denotes the _________ of the conic:

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Directrix

Vertex

Focus

Eccentricity

Point p (-5, 6) lies ............ the circle x² + y² + 4x - 6y - 12 = 0

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Outside

Inside

On

None of these

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

The radius of point circle is:

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0

(0, 0)

r

1

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

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x = X - h

x = X + h

x + X = h

None

A chord containing the center of the circle is called ______ of the circle:

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Diameter

Chord

Radius

None of these

The conic is a parabola, if:

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e = 1

e > 1

0 < e < 1

e = 0

The graph of the parabola y²= -4ax is symmetric about:

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x-axis

y = x

y-axis

None of these

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

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x = a

x = 0

y = a

y = 0

The radius of circle x² + y² + 2gx + 2fy + c = 0 is:

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If the radius of a circle is zero, then the circle is called a / an:

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Circle

Circular cone

Ellipse

Point circle

In equation of circle, coefficient of each of x² and y² are:

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Not equal

Opposite in signs

Equal

None of these

The axis of the parabola x² = -4ay is:

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x = a

x = 0

y = a

y = 0

If r is the radius of any circle and C its center, then any point P(x₁, y₁) lies on the circle only if:

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|CP| < r

|CP| > r

|CP| = r

None of these

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

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x = 0

x = a

y = 0

y = a

The opening of the parabola y² = -4ax is to the left of the:

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x-axis

x = 1

y-axis

x = 0

The number e denotes the _______ of the conic:

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Directrix

Vertex

Focus

Eccentricity

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

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If the cone is cut by a plane perpendicular to the axis of the cone, then the section is a / an:

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Parabola

Circular cone

Ellipse

Circle

The vertex of the parabola y² = 4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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