Question # 1

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4a

2a

4b

2b

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

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Ellipse

Parabola

Hyperbola

None of these

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

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(-g, -f)

(-f, -g)

(0, 0)

(g, f)

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

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Straight line

Tangent line

Normal line

Vertical line

The focus of the parabola y²=4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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

A chord passing through the focus of a parabola is called a ________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

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

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x = 0

y = -a

y = 0

y = -a

The number e denotes the _________ of the conic:

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Directrix

Vertex

Focus

Eccentricity

The parabola y² = 4ax lies in quadrants:

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I and II

III and IV

II and III

I and IV

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

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x = a

x = -a

y = a

y = -a

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

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

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(a, 0)

(0, 0)

(0, -a)

(0, a)

The opening of the parabola x²= 16y is to __________ of the x-axis:

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Left

Upward

Right

Downward

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

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

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Left

Upward

Right

Downward

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

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A line segment whose end points lie on the circle is called a __________ of the circle.

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Radius

Chord

Diameter

None of these

If the focus lies on the y - axis with coordinates F(0, a) and directrix of the parabola is y = -a, then the equation of parabola is:

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x² = 4ay

-x²= 4ay

-y²= 4ax

y²= 4ax

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