Question # 1

An angle in a semi-circle is:

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0°

90°

180°

60°

The focus of the parabola x² = 4ay:

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(0, a)

(-a , 0)

(0, -a)

(a, 0)

A line through a point say P perpendicular to the tangent to the curve at P is called:

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Straight line

Tangent line

Normal line

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 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 graph of the parabola x² = -4ay lies in quadrants:

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I and II

III and IV

II and III

I and III

The point where the axis meets the parabola is called ________ of the parabola:

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Directrix

Vertex

Focus

Eccentricity

The focus of the parabola y²=4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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

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x-axis

major axis

y-axis

minor axis

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

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

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x = X - h

x = X + h

x + X = h

None

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

A line segment joining two distinct points on a parabola is called a ___________ of the parabola:

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Chord

Vertex

Focus

Directrix

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

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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 fixed point of the conic is called:

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Directrix

Vertex

Focus

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

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Directrix

Vertex

Focus

Chord

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0

4

7

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

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x = 0

y = -a

y = 0

y = -a

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