Question # 1

If the equation of the parabola is y² = - 4ax, then opening of the parabola is to the ______ of the y-axis:

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Left

Upward

Right

Downward

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

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

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Chord

Vertex

Focus

Directrix

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

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Diameter

Chord

Radius

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 conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

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

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x = a

x = - a

y = a

y = -a

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a

2b

b

2a

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 directrix of the parabola x² = 4ay 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 vertex of the parabola y² = -4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

The distance between the center of a circle and any point of the circle is called:

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Tangents

Secant

Diameter

Radius

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

The opening of the parabola y² = 4ax is to the ________ of the:

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Left

Upward

Right

Downward

A circle is of radius 5 cm, the distance of a chord 8 cm long from its center is:

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4 cm

3cm

2.5cm

3.4cm

The vertex of parabola (x - 1)² = 8 (y + 2) is:

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(1, -2)

(0, 1)

(-1, -2)

(1, 2)

The vertex of the parabola x² = 4ay is:

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(-a, 0)

(0, a)

(0, -a)

(0, 0)

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