Question # 1

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Ellipse

Parabola

Hyperbola

Circle

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

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Straight line

Tangent line

Normal line

Vertical line

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

Two real and distinct tangents can be drawn to a circle from any point P(x₁, y₁) ______ the circle:

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Inside

On

Outside

None of these

The 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

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

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(-g, -f)

(-f, -g)

(0, 0)

(g, f)

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 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 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

Two imaginary tangents can be drawn to a circle from any point P(x₁, y₁) _______ the circle:

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Inside

On

Outside

None of these

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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Circle

Parabola

Hyperbola

Ellipse

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

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Chord

Vertex

Focus

Directrix

In the case of rotation of axes which formula is true:

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The fixed point of the conic is called:

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Directrix

Vertex

Focus

None of these

An angle in a semi-circle is:

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0°

90°

180°

60°

Length of tangent from (0,1) to x² + y² + 6x - 3y + 3 = 0

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2

1

4

3

The axis of the parabola y² = 4ax is:

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x = 0

x = a

y = 0

y = a

A chord passing through the focus of a parabola is called a ________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

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