Question # 1

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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

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I and II

III and IV

II and III

I and III

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 equi. of latus-rectum of the parabola y² = -4ax is:

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x = a

x = -a

y = a

y = -a

The conic is a parabola, if:

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e = 1

e > 1

0 < e < 1

e = 0

The number e denotes the _______ of the conic:

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Directrix

Vertex

Focus

Eccentricity

If the radius of a circle is zero, then the circle is called a / an:

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Circle

Circular cone

Ellipse

Point circle

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 number e denotes the _________ of the conic:

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Directrix

Vertex

Focus

Eccentricity

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Two circles of radius 3 cm and 4 cm touch each other externally. The distance between their centers is:

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1 cm

7cm

4cm

5cm

the focal chord perpendicular to the axis of the parabola is called _____________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

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

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x-axis

major axis

y-axis

minor axis

The directrix of the parabola x² = 4ay is:

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x = a

x = -a

y = a

y = -a

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 radius of point circle is:

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0

(0, 0)

r

1

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

The axis of the parabola x² = 4ay is:

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x = 0

x = -a

y = 0

y = -a

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

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a

4a

2a

None of these

The graph of the parabola x² = -4ay is symmetric about:

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x-axis

major axis

y-axis

minor axis

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

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Straight line

Tangent line

Normal line

Vertical line

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