Question # 1

The directrix of the parabola x² = 4ay is:

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x = a

x = -a

y = a

y = -a

Point (5, 6) lies ..... the circle x² + y² = 81:

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Outside

Inside

On

None of these

The focus of the parabola y²=-4ax 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

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

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Outside

Inside

On

None of these

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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0

4

7

The number e denotes the _______ of the conic:

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Directrix

Vertex

Focus

Eccentricity

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 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

If a circle and a line intersect in two points, then the line is called:

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A chord

A secant

A diameter

None of these

The vertex of the parabola x² = 4ay is:

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(-a, 0)

(0, a)

(0, -a)

(0, 0)

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

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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

Measure of the central angle of a minor arc is ____ the measure of the angle subtended in the corresponding major arc.

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Equal

Double

Not equal to

Triple

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

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x = a

x = 0

y = a

y = 0

A line perpendicular to a radial chord of a circle at the end-point (which lies on the circle) is a:

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Secant

Diameter

Chord

Tangent

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

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Left

Upward

Right

Downward

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

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x² = 4ay

-x²= 4ay

-y²= 4ax

y²= 4ax

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x = 0

y = -a

y = 0

y = -a

The number e denotes the _________ of the conic:

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Directrix

Vertex

Focus

Eccentricity

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