Question # 1

The vertex of the parabola y² = 4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

Perpendicular dropped from the center of a circle on a chord _______ the chord:

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Normal

Bisects

Equal to

None of these

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 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

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 conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

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

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Chord

Vertex

Focus

Directrix

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 parabola y² = 4ax lies in quadrants:

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I and II

III and IV

II and III

I and IV

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 segment having both the end-points on a circle and not passing through the center is called a:

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A chord

A secant

A diameter

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

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

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|CP| < r

|CP| = r

|CP| > r

None of these

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

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x-axis

major axis

y-axis

minor axis

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

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x = a

x = -a

y = a

y = -a

The radius of circle x² + y² + ax + by + c = 0 is:

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None

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

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(-3, 2)

(3, -2)

(3, 2)

(-3, -2)

One of the angles of a triangle inscribed in a circle is of 40°. If one of its' the diameter, the other angles have the measures:

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30°, 110°

40°, 100°

50°, 90°

20°, 120°

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