Question # 1

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

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(a, 0)

(0, 0)

(0, -a)

(0, a)

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

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

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

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Ellipse

Parabola

Hyperbola

Circle

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x = 0

y = -a

y = 0

y = -a

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

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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 focus of the parabola y²=4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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 radius of a circle is zero, then the circle is called a / an:

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Circle

Circular cone

Ellipse

Point circle

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 focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

The equ. of directrix of the parabola y² = -4ax 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 point where the axis meets the parabola is called ________ of the parabola:

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Directrix

Vertex

Focus

Eccentricity

Two real and distinct 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 axis of the parabola x² = 4ay is:

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x = 0

x = -a

y = 0

y = -a

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 graph of the parabola y²= -4ax is symmetric about:

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x-axis

y = x

y-axis

None of these

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

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

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x = a

x = -a

y = a

y = -a

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