Question # 1

A line segment joining two distinct points on a parabola is called a ___________ of the parabola:

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Chord

Vertex

Focus

Directrix

The parabola y² = 4ax lies in quadrants:

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I and II

III and IV

II and III

I and IV

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 axis of the parabola y² = -4ax is:

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x = a

x = 0

y = a

y = 0

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

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

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x = a

x = -a

y = a

y = -a

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

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Directrix

Vertex

Focus

Eccentricity

The opening of the parabola x²= 16y is to __________ of the x-axis:

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Left

Upward

Right

Downward

The axis of the parabola y² = 4ax is:

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x = 0

x = a

y = 0

y = a

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

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

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Ellipse

Parabola

Hyperbola

None of these

If r is the radius of the circle and its center is at origin, then equation of circle is:

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x² + y² = a²

x² + y² = r²

x² - y² = a²

x² - y² = r²

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

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The two parts of a right circular cones are called:

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Nappes

Apex of the cone

Generator

Vertex

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

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

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Straight line

Tangent line

Normal line

Vertical line

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

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x = 0

x = a

y = 0

y = a

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

If the equation of the parabola is y² = - 4ax, then opening of the parabola is to the ______ of the y-axis:

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Left

Upward

Right

Downward

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

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(a, 0)

(0, 0)

(0, -a)

(0, a)

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