Question # 1

The two parts of a right circular cones are called:

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Nappes

Apex of the cone

Generator

Vertex

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 set of all points in the plane that are equally distant from a fixed point is called a / an:

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Circle

Circular cone

Ellipse

Point circle

Two arcs of two different circles are congruent if:

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The circles are congruent

The corresponding central angles are congruent

Both a and b

None of the above

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

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Directrix

Vertex

Focus

Chord

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

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A pair of lines

Circle

Ellipse

Hyperbola

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

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

A line segment whose end points lie on the circle is called a __________ of the circle.

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Radius

Chord

Diameter

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 axis of the parabola x² = -4ay is:

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x = a

x = 0

y = a

y = 0

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

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

The directrix of the parabola x² = 4ay is:

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x = a

x = -a

y = a

y = -a

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

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Left

Upward

Right

Downward

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

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(-g, -f)

(-f, -g)

(0, 0)

(g, f)

The directrix of the parabola y² = 4ax is:

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x = a

x = -a

y = a

y = - a

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

Perpendicular dropped from the center of a circle on a chord _______ the chord:

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Normal

Bisects

Equal to

None of these

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

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x = a

x = -a

y = a

y = -a

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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