Question # 1

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

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2

1

4

3

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 the parabola x² = 4ay lies in quadrant:

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I and II

III and IV

II and III

I and III

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4a

2a

4b

2b

If the radius of a circle is zero, then the circle is called a / an:

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Circle

Circular cone

Ellipse

Point circle

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

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x-axis

y = x

y-axis

None of these

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

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y² = 4ax, is the standard equation of the:

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Ellipse

Parabola

Hyperbola

None of these

the focal chord perpendicular to the axis of the parabola is called _____________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

Two arcs of two different circles are congruent if:

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The circles are congruent

The corresponding central angles are congruent

Both a and b

None of the above

The two parts of a right circular cones are called:

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Nappes

Apex of the cone

Generator

Vertex

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

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Diameter

Chord

Radius

None of these

The vertex of the parabola y² = 4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

Point (5, 6) lies ..... the circle x² + y² = 81:

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Outside

Inside

On

None of these

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

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x = a

x = -a

y = a

y = -a

An angle in a semi-circle is:

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0°

90°

180°

60°

The center of circle (x+3)² + (y-2)² = 16 equals:

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(-3, 2)

(3, -2)

(3, 2)

(-3, -2)

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

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x = a

x = 0

y = a

y = 0

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

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x = 0

x = a

y = 0

y = a

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

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