Question # 1

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

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x = 0

x = a

y = 0

y = a

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a

2b

b

2a

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

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x-axis

x = 1

y-axis

x = 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

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

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y² = 4ax, is the standard equation of the:

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Ellipse

Parabola

Hyperbola

None of these

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 fixed point of the conic is called:

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Directrix

Vertex

Focus

None of these

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

The number e denotes the _________ of the conic:

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Directrix

Vertex

Focus

Eccentricity

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

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x = a

x = - a

y = a

y = -a

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

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x = a

x = 0

y = a

y = 0

The vertex of the parabola x² = 4ay is:

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(-a, 0)

(0, a)

(0, -a)

(0, 0)

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

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

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x = 0

y = -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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The distance between the center of a circle and any point of the circle is called:

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Tangents

Secant

Diameter

Radius

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

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Directrix

Vertex

Focus

Eccentricity

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