Question # 1

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

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x-axis

major axis

y-axis

minor axis

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

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Directrix

Vertex

Focus

Eccentricity

A line through a point say P perpendicular to the tangent to the curve at P is called:

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Straight line

Tangent line

Normal line

None of these

The radius of point circle is:

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0

(0, 0)

r

1

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

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Outside

Inside

On

None of these

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

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Left

Upward

Right

Downward

If a point lies inside a circle, then its distance from the center is:

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Equal to the radius

Less then the radius

Greater then the radius

Equal to or greater than the

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

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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 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 fixed point of the conic is called:

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Directrix

Vertex

Focus

None of these

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Ellipse

Parabola

Hyperbola

Circle

An angle in a semi-circle is:

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0°

90°

180°

60°

The directrix of the parabola y² = 4ax is:

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x = a

x = -a

y = a

y = - a

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

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x = a

x = 0

y = a

y = 0

The radius of circle x² + y² + ax + by + c = 0 is:

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None

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

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

If equation of circle is (x - h)² + (y - k)² = r², then center of a circle:

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(-h, -k)

(h, k)

(-h, k)

(h, -k)

The two parts of a right circular cones are called:

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Nappes

Apex of the cone

Generator

Vertex

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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