Question # 1

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

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Left

Upward

Right

Downward

If the equation of the parabola is x² = 4ay, then opening of the parabola is to _______ of the x-axis:

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Left

Upward

Right

Downward

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

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

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Ellipse

Parabola

Hyperbola

None of these

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

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(-g, -f)

(-f, -g)

(0, 0)

(g, f)

The vertex of parabola (x - 1)² = 8 (y + 2) is:

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(1, -2)

(0, 1)

(-1, -2)

(1, 2)

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

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

The curves obtained by cutting a __________ double right circular cone by a _______ are called conics:

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Straight line

Plane

Curve

None of these

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

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I and II

III and IV

II and III

I and III

The number e denotes the _______ of the conic:

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Directrix

Vertex

Focus

Eccentricity

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 x² = -4ay is symmetric about:

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x-axis

major axis

y-axis

minor axis

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

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x = a

x = 0

y = a

y = 0

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

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Straight line

Tangent line

Normal line

Vertical line

In the case of rotation of axes which formula is true:

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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

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

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x -axis

y = c

y - axis

x = y

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

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x = 0

x = a

y = 0

y = a

Length of tangent from (0,1) to x² + y² + 6x - 3y + 3 = 0

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2

1

4

3

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