Question # 1

The equation x² + y² + 2x + 3y = 10 represents a:

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A pair of lines

Circle

Ellipse

Hyperbola

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

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x = 0

x = a

y = 0

y = a

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

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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 focal chord perpendicular to the axis of the parabola is called _____________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

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

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

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

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x -axis

y = c

y - axis

x = y

Two imaginary tangents can be drawn to a circle from any point P(x₁, y₁) _______ the circle:

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Inside

On

Outside

None of these

The conic is a parabola, if:

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e = 1

e > 1

0 < e < 1

e = 0

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

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

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

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x = a

x = - a

y = a

y = -a

If the cutting plane is slightly tillted and cuts only one nappe of the cone, then the section is a / an:

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Ellipse

Circular cone

Circle

Point circle

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

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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 the parabola x² = 4ay lies in quadrant:

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I and II

III and IV

II and III

I and III

The two parts of a right circular cones are called:

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Nappes

Apex of the cone

Generator

Vertex

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

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Tangents

Secant

Diameter

Radius

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

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Left

Upward

Right

Downward

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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