Question # 1

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 equation of the latus-rectum of the parabola y² = 4ax is:

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x = a

x = -a

y = a

y = -a

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

Length of tangent from (0,1) to x² + y² + 6x - 3y + 3 = 0

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2

1

4

3

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

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

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x = a

x = 0

y = a

y = 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

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

The number e denotes the _______ of the conic:

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Directrix

Vertex

Focus

Eccentricity

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4a

2a

4b

2b

The parabola y² = 4ax lies in quadrants:

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I and II

III and IV

II and III

I and IV

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

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Ellipse

Parabola

Hyperbola

None of these

The two parts of a right circular cones are called:

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Nappes

Apex of the cone

Generator

Vertex

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

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Directrix

Vertex

Focus

Chord

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

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x = a

x = -a

y = a

y = -a

The directrix of the parabola x² = 4ay is:

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x = a

x = -a

y = a

y = -a

The vertex of the parabola x² = 4ay is:

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(-a, 0)

(0, a)

(0, -a)

(0, 0)

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

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

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

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