Question # 1

If the cone is cut by a plane perpendicular to the axis of the cone, then the section is a / an:

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Parabola

Circular cone

Ellipse

Circle

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)

Equation of axis of the parabola x² = 4ay is:

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x = 0

x = a

y = 0

y = a

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

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An angle in a semi-circle is:

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0°

90°

180°

60°

The parabola y² = 4ax lies in quadrants:

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I and II

III and IV

II and III

I and IV

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

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 curves obtained by cutting a __________ double right circular cone by a _______ are called conics:

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Straight line

Plane

Curve

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 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

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

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Left

Upward

Right

Downward

The directrix of the parabola y² = 4ax is:

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x = a

x = -a

y = a

y = - a

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

If the equation of the parabola x² = 4ay, then opening of the parabola is upward of the:

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x-axis

y-axis

Major axis

Minor axis

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

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Chord

Vertex

Focus

Directrix

The point of a parabola which is closest to the focus in the:

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Directrix

Vertex

Focus

Chord

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 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

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