Question # 1

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 axis of the parabola x² = 4ay is:

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x = 0

x = -a

y = 0

y = -a

The two parts of a right circular cones are called:

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Nappes

Apex of the cone

Generator

Vertex

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

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

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x-axis

y = x

y-axis

None of these

The graph of the parabola y² = -4ax lies in quadrants:

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I and II

III and IV

II and III

I and III

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

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x-axis

major axis

y-axis

minor axis

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

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

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Chord

Vertex

Focus

Directrix

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

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

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The vertex of parabola (x - 1)² = 8 (y + 2) is:

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(1, -2)

(0, 1)

(-1, -2)

(1, 2)

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

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Ellipse

Parabola

Hyperbola

Circle

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

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Left

Upward

Right

Downward

An angle in a semi-circle is:

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0°

90°

180°

60°

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

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(-g, -f)

(-f, -g)

(0, 0)

(g, f)

The vertex of the parabola x² = 4ay is:

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(-a, 0)

(0, a)

(0, -a)

(0, 0)

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a

2b

b

2a

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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