Question # 1

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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

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Directrix

Vertex

Focus

Chord

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 conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

The ratio between the measure of the radial segment and the diameter of a circle is:

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2 : 1

4 : 3

1 : 2

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

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

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The axis of the parabola x² = -4ay is:

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x = a

x = 0

y = a

y = 0

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

The equation x² + y² + 2x + 3y = 10 represents a:

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A pair of lines

Circle

Ellipse

Hyperbola

The equi. of 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 + 2gx + 2fy + c = 0 is:

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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

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

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Straight line

Tangent line

Normal line

Vertical line

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Circle

Parabola

Hyperbola

Ellipse

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

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x = a

x = 0

y = a

y = 0

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

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Left

Upward

Right

Downward

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