Question # 1

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 y² = -4ax is to the left of the:

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x-axis

x = 1

y-axis

x = 0

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0

4

7

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

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x -axis

y = c

y - axis

x = y

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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

A line perpendicular to a radial chord of a circle at the end-point (which lies on the circle) is a:

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Secant

Diameter

Chord

Tangent

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

If a point lies inside a circle, then its distance from the center is:

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Equal to the radius

Less then the radius

Greater then the radius

Equal to or greater than the

The vertex of the parabola y² = 4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

The equi. of latus-rectum of the parabola y² = -4ax is:

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x = a

x = -a

y = a

y = -a

The ratio between the measure of the radial segment and the diameter of a circle is:

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2 : 1

4 : 3

1 : 2

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

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x = a

x = 0

y = a

y = 0

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

If r is the radius of any circle and C its center, then any point P(x₁, y₁) lies on the circle only if:

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|CP| < r

|CP| > r

|CP| = r

None of these

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

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x = a

x = -a

y = a

y = -a

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

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2

1

4

3

The graph of the parabola x² = -4ay is symmetric about:

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x-axis

major axis

y-axis

minor axis

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

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x = a

x = - a

y = a

y = -a

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

The conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

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