Question # 1

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a

2b

b

2a

The vertex of the parabola x² = 4ay is:

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(-a, 0)

(0, a)

(0, -a)

(0, 0)

Equation of axis of the parabola x² = 4ay is:

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x = 0

x = a

y = 0

y = a

The conic is a parabola, if:

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e = 1

e > 1

0 < e < 1

e = 0

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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Ellipse

Parabola

Hyperbola

Circle

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

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

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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

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

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x = a

x = -a

y = a

y = -a

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

The number e denotes the _________ of the conic:

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Directrix

Vertex

Focus

Eccentricity

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

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An angle in a semi-circle is:

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0°

90°

180°

60°

The graph of the parabola y² = -4ax 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 outside the circle only if:

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|CP| < r

|CP| = r

|CP| > r

None of these

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

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None

A line that touches the curve without cutting through it is called:

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Straight line

Tangent line

Normal line

Vertical line

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

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x-axis

major axis

y-axis

minor axis

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

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