Question # 1

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

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Left

Upward

Right

Downward

The fixed point of the conic is called:

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Directrix

Vertex

Focus

None of these

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

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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

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

If a point lies inside a circle, then its distance from the center is:

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Equal to the radius

Less then the radius

Greater then the radius

Equal to or greater than the

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

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Diameter

Chord

Radius

None of these

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 axis of the parabola y² = -4ax is:

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x = a

x = 0

y = a

y = 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

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

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

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Outside

Inside

On

None of these

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

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

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Outside

Inside

On

None of these

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

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Tangents

Secant

Diameter

Radius

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

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x -axis

y = c

y - axis

x = y

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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

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(-3, 2)

(3, -2)

(3, 2)

(-3, -2)

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

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Ellipse

Parabola

Hyperbola

None of these

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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