Question # 1

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 axis of the parabola y² = 4ax is:

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x = 0

x = a

y = 0

y = a

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

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 number e denotes the _________ of the conic:

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Directrix

Vertex

Focus

Eccentricity

If r is the radius of the circle and its center is at origin, then equation of circle is:

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x² + y² = a²

x² + y² = r²

x² - y² = a²

x² - y² = r²

The axis of the parabola x² = 4ay is:

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x = 0

x = -a

y = 0

y = -a

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

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

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Outside

Inside

On

None of these

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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a

2b

b

2a

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

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Straight line

Tangent line

Normal line

Vertical line

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

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

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

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Circle

Parabola

Hyperbola

Ellipse

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

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x-axis

y = x

y-axis

None of these

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

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Directrix

Vertex

Focus

Eccentricity

The conic is a parabola, if:

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e = 1

e > 1

0 < e < 1

e = 0

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°

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