Question # 1

The center of circle (x+3)² + (y-2)² = 16 equals:

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(-3, 2)

(3, -2)

(3, 2)

(-3, -2)

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

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The parabola y² = 4ax lies in quadrants:

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I and II

III and IV

II and III

I and IV

The opening of the parabola x² = 4ay is upward of the:

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x -axis

y = c

y - axis

x = y

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

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x = a

x = 0

y = a

y = 0

The opening of the parabola x²= 16y 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

If the cutting plane is slightly tillted and cuts only one nappe of the cone, then the section is a / an:

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Ellipse

Circular cone

Circle

Point circle

The vertex of the parabola x² = 4ay is:

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(-a, 0)

(0, a)

(0, -a)

(0, 0)

The conic is a parabola, if:

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e = 1

e > 1

0 < e < 1

e = 0

The directrix of the parabola y² = 4ax is:

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x = a

x = -a

y = a

y = - a

Two real and distinct 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

A chord passing through the focus of a parabola is called a ________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

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

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

The graph of the parabola x² = -4ay lies in quadrants:

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I and II

III and IV

II and III

I and III

Length of tangent from (a, 0) to the circle x² + y² + 2gx + 2fy + c = 0 is:

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c

2g + 2f -c

None

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

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Directrix

Vertex

Focus

Eccentricity

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

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A pair of lines

Circle

Ellipse

Hyperbola

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

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x = a

x = 0

y = a

y = 0

The number e denotes the _________ of the conic:

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Directrix

Vertex

Focus

Eccentricity

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

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