Question # 1

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

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x -axis

y = c

y - axis

x = y

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

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Outside

Inside

On

None of these

The equation of the latus-rectum of the parabola y² = 4ax is:

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x = a

x = -a

y = a

y = -a

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

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(-3, 2)

(3, -2)

(3, 2)

(-3, -2)

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

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(-g, -f)

(-f, -g)

(0, 0)

(g, f)

The fixed point of the conic is called:

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Directrix

Vertex

Focus

None of these

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

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Straight line

Tangent line

Normal line

Vertical line

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

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

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Tangents

Secant

Diameter

Radius

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0

4

7

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

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(1, -2)

(0, 1)

(-1, -2)

(1, 2)

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

The directrix of the parabola y² = 4ax is:

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x = a

x = -a

y = a

y = - a

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a

2b

b

2a

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

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

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 x² = -4ay is symmetric about:

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x-axis

major axis

y-axis

minor axis

The radius of circle x² + y² + ax + by + c = 0 is:

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None

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