Question # 1

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 equation of the parabola x² = 4ay, then opening of the parabola is upward of the:

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x-axis

y-axis

Major axis

Minor axis

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

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

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An angle in a semi-circle is:

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0°

90°

180°

60°

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x = 0

y = -a

y = 0

y = -a

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

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

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Outside

Inside

On

None of these

The vertex of parabola (x - 1)² = 8 (y + 2) is:

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(1, -2)

(0, 1)

(-1, -2)

(1, 2)

If the cone is cut by a plane perpendicular to the axis of the cone, then the section is a / an:

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Parabola

Circular cone

Ellipse

Circle

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

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Directrix

Vertex

Focus

Chord

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

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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 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 conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

If equation of circle is (x - h)² + (y - k)² = r², then center of a circle:

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(-h, -k)

(h, k)

(-h, k)

(h, -k)

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

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x-axis

major axis

y-axis

minor axis

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

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a

2b

b

2a

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

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x = a

x = 0

y = a

y = 0

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