Question # 1

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a

2b

b

2a

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

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x = a

x = -a

y = a

y = -a

The two parts of a right circular cones are called:

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Nappes

Apex of the cone

Generator

Vertex

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 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 directrix of the parabola y² = 4ax is:

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x = a

x = -a

y = a

y = - a

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section a / an:

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Parabola

Hyperbola

Ellipse

None of these

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

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x-axis

major axis

y-axis

minor axis

A circle is of radius 5 cm, the distance of a chord 8 cm long from its center is:

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4 cm

3cm

2.5cm

3.4cm

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

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Ellipse

Parabola

Hyperbola

None of these

If the equation of the parabola is y2 = 4ax, then opening of the parabola is to the right of the:

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x-axis

y = x

y-axis

x + y =0

The vertex of the parabola y² = 4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

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 length of the latus rectum of the parabola y² = 4ax is:

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a

4a

2a

None of these

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

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

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(a, 0)

(0, 0)

(0, -a)

(0, a)

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

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0

4

7

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

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Directrix

Vertex

Focus

Eccentricity

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

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x = 0

x = a

y = 0

y = a

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