Question # 1

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

The ratio between the measure of the radial segment and the diameter of a circle is:

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2 : 1

4 : 3

1 : 2

The graph of the parabola y² = -4ax lies in quadrants:

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I and II

III and IV

II and III

I and III

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

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x-axis

y = x

y-axis

None of these

The conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

The radius of circle x² + y² + ax + by + c = 0 is:

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None

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

A line through a point say P perpendicular to the tangent to the curve at P is called:

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Straight line

Tangent line

Normal line

None of these

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

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

The graph of the parabola x² = -4ay is symmetric about:

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x-axis

major axis

y-axis

minor axis

A line segment having both the end-points on a circle and not passing through the center is called a:

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A chord

A secant

A diameter

None of these

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

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Directrix

Vertex

Focus

Eccentricity

If equation of circle is (x - h)² + (y - k)² = r², then center of a circle:

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(-h, -k)

(h, k)

(-h, k)

(h, -k)

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

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x = a

x = -a

y = a

y = -a

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x = 0

y = -a

y = 0

y = -a

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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

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Outside

Inside

On

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 vertex of the parabola x² = 4ay is:

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(-a, 0)

(0, a)

(0, -a)

(0, 0)

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

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Diameter

Chord

Radius

None of these

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