Question # 1

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

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

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 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 distance between the center of a circle and any point of the circle is called:

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Tangents

Secant

Diameter

Radius

the focal chord perpendicular to the axis of the parabola is called _____________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

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

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|CP| < r

|CP| = r

|CP| > r

None of these

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 point of a parabola which is closest to the focus in the:

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Directrix

Vertex

Focus

Chord

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

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x-axis

y = x

y-axis

None of these

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

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x-axis

major axis

y-axis

minor axis

The vertex of the parabola y² = 4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

The number e denotes the _________ of the conic:

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Directrix

Vertex

Focus

Eccentricity

If the focus lies on the x-axis with coordinates F(a, 0) and directrix of the parabola is = - a then the equation of parabola is:

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x² = 4ay

y²= 4ax

-x²= 4ay

-y²= 4ax

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

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

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

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 opening of the parabola y² = 4ax is to the ________ of the:

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Left

Upward

Right

Downward

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

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x = a

x = 0

y = a

y = 0

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