Question # 1

The vertex of the parabola y² = 4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 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

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°

The directrix of the parabola y² = 4ax is:

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x = a

x = -a

y = a

y = - a

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

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Diameter

Chord

Radius

None of these

Two circles of radius 3 cm and 4 cm touch each other externally. The distance between their centers is:

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1 cm

7cm

4cm

5cm

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

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x² = 4ay

y²= 4ax

-x²= 4ay

-y²= 4ax

If the equation of the parabola is x² = 4ay, then opening of the parabola is to _______ of the x-axis:

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Left

Upward

Right

Downward

The axis of the parabola x² = 4ay is:

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x = 0

x = -a

y = 0

y = -a

The opening of the parabola x² = 4ay is upward of the:

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x -axis

y = c

y - axis

x = y

The axis of the parabola y² = -4ax is:

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x = a

x = 0

y = a

y = 0

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

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

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Directrix

Vertex

Focus

Chord

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 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

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

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x = 0

x = a

y = 0

y = a

If the equation of the parabola is y2 = 4ax, then opening of the parabola is to the right of the:

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x-axis

y = x

y-axis

x + y =0

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

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