Question # 1

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

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x-axis

y = x

y-axis

None of these

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

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x = a

x = 0

y = a

y = 0

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 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

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 equ. of directrix of the parabola y² = -4ax is:

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x = a

x = - a

y = a

y = -a

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

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4a

2a

4b

2b

The axis of the parabola x² = 4ay is:

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x = 0

x = -a

y = 0

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

The directrix of the parabola y² = 4ax is:

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x = a

x = -a

y = a

y = - a

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

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(a, 0)

(0, 0)

(0, -a)

(0, a)

The condition for the line y = mx + c to be a tangent to the circle x² + y² = a² is c = _____________:

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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

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

The conic is a parabola, if:

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e = 1

e > 1

0 < e < 1

e = 0

A line segment joining two distinct points on a parabola is called a ___________ of the parabola:

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Chord

Vertex

Focus

Directrix

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Circle

Parabola

Hyperbola

Ellipse

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

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a

4a

2a

None of these

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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