Question # 1

If r is the radius of any circle and C its center, then any point P(x₁, y₁) lies on the circle only if:

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|CP| < r

|CP| > r

|CP| = r

None of these

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

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Left

Upward

Right

Downward

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 equation x² + y² + 2x + 3y = 10 represents a:

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A pair of lines

Circle

Ellipse

Hyperbola

If the equation of the parabola is y2 = 4ax, then opening of the parabola is to the right of the:

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x-axis

y = x

y-axis

x + y =0

A line segment having both the end-points on a circle and not passing through the center is called a:

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A chord

A secant

A diameter

None of these

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

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x = a

x = -a

y = a

y = -a

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

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

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

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Perpendicular dropped from the center of a circle on a chord _______ the chord:

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Normal

Bisects

Equal to

None of these

The number e denotes the _________ of the conic:

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Directrix

Vertex

Focus

Eccentricity

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 axis of the parabola y² = 4ax is:

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x = 0

x = a

y = 0

y = a

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 parabola x² = -4ay lies in quadrants:

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I and II

III and IV

II and III

I and III

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

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x = a

x = - a

y = a

y = -a

An angle in a semi-circle is:

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0°

90°

180°

60°

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

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x-axis

y = x

y-axis

None of these

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