Question # 1

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

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Directrix

Vertex

Focus

Chord

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 opening of the parabola y² = -4ax is to the left of the:

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x-axis

x = 1

y-axis

x = 0

If r is the radius of the circle and its center is at origin, then equation of circle is:

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x² + y² = a²

x² + y² = r²

x² - y² = a²

x² - y² = r²

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

An angle in a semi-circle is:

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0°

90°

180°

60°

The equ. of directrix of the parabola y² = -4ax is:

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x = a

x = - a

y = a

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

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

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x = a

x = 0

y = a

y = 0

The two parts of a right circular cones are called:

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Nappes

Apex of the cone

Generator

Vertex

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

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Ellipse

Parabola

Hyperbola

None of these

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

The directrix of the parabola x² = 4ay is:

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x = a

x = -a

y = a

y = -a

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

The parabola y² = 4ax lies in quadrants:

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I and II

III and IV

II and III

I and IV

Perpendicular dropped from the center of a circle on a chord _______ the chord:

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Normal

Bisects

Equal to

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

If the equation of the parabola is x² = 4ay, then opening of the parabola is to _______ of the x-axis:

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Left

Upward

Right

Downward

The focus of the parabola x² = 4ay:

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(0, a)

(-a , 0)

(0, -a)

(a, 0)

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

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