Question # 1

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

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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

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

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Directrix

Vertex

Focus

Eccentricity

The opening of the parabola x² = 4ay is upward of the:

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x -axis

y = c

y - axis

x = y

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 conic is a parabola, if:

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e = 1

e > 1

0 < e < 1

e = 0

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)

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Circle

Parabola

Hyperbola

Ellipse

In equation of circle, coefficient of each of x² and y² are:

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Not equal

Opposite in signs

Equal

None of these

An angle in a semi-circle is:

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0°

90°

180°

60°

The vertex of the parabola y² = -4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

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

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

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Left

Upward

Right

Downward

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

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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4a

2a

4b

2b

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x = 0

y = -a

y = 0

y = -a

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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

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

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