Question # 1

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

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section a / an:

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Parabola

Hyperbola

Ellipse

None of these

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 center of circle (x+3)² + (y-2)² = 16 equals:

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(-3, 2)

(3, -2)

(3, 2)

(-3, -2)

An angle in a semi-circle is:

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0°

90°

180°

60°

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

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None

One of the angles of a triangle inscribed in a circle is of 40°. If one of its' the diameter, the other angles have the measures:

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30°, 110°

40°, 100°

50°, 90°

20°, 120°

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

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A pair of lines

Circle

Ellipse

Hyperbola

Two imaginary 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

In the case of translation of axes which formula is true:

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x = X - h

x = X + h

x + X = h

None

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

If the cutting plane is slightly tillted and cuts only one nappe of the cone, then the section is a / an:

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Ellipse

Circular cone

Circle

Point circle

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

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x-axis

y = x

y-axis

None of these

The conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

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x = 0

y = -a

y = 0

y = -a

The directrix of the parabola y² = 4ax 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

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4a

2a

4b

2b

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

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a

4a

2a

None of these

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

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x = a

x = - a

y = a

y = -a

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

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