Question # 1

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

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None

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

If a circle and a line intersect in two points, then the line is called:

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A chord

A secant

A diameter

None of these

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

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a

4a

2a

None of these

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

If the focus lies on the y - axis with coordinates F(0, a) and directrix of the parabola is y = -a, then the equation of parabola is:

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x² = 4ay

-x²= 4ay

-y²= 4ax

y²= 4ax

Point p (-5, 6) lies ............ the circle x² + y² + 4x - 6y - 12 = 0

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Outside

Inside

On

None of these

The parabola y² = 4ax lies in quadrants:

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I and II

III and IV

II and III

I and IV

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 directrix of the parabola x² = -4ay is:

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x = a

x = -a

y = a

y = -a

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 vertex of the parabola y² = -4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

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

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

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Tangents

Secant

Diameter

Radius

If the equation of the parabola x² = 4ay, then opening of the parabola is upward of the:

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x-axis

y-axis

Major axis

Minor axis

The conic is a parabola, if:

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e = 1

e > 1

0 < e < 1

e = 0

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 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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Ellipse

Parabola

Hyperbola

Circle

If r is the radius of the circle and its center is at origin, then equation of circle is:

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x² + y² = a²

x² + y² = r²

x² - y² = a²

x² - y² = r²

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