Question # 1

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

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

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x = a

x = -a

y = a

y = -a

If a circle and a line intersect in two points, then the line is called:

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A chord

A secant

A diameter

None of these

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

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 length of the latus rectum of the parabola y² = 4ax is:

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a

4a

2a

None of these

The center of circle (x+3)² + (y-2)² = 16 equals:

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(-3, 2)

(3, -2)

(3, 2)

(-3, -2)

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

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

A chord containing the center of the circle is called ______ of the circle:

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Diameter

Chord

Radius

None of these

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

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Directrix

Vertex

Focus

Chord

The parabola y² = 4ax lies in quadrants:

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I and II

III and IV

II and III

I and IV

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

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(-g, -f)

(-f, -g)

(0, 0)

(g, f)

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Circle

Parabola

Hyperbola

Ellipse

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

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x = a

x = 0

y = a

y = 0

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x = 0

y = -a

y = 0

y = -a

The vertex of the parabola x² = 4ay is:

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(-a, 0)

(0, a)

(0, -a)

(0, 0)

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

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Left

Upward

Right

Downward

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

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

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

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