Question # 1

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 directrix of the parabola x² = 4ay is:

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x = a

x = -a

y = a

y = -a

The two parts of a right circular cones are called:

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Nappes

Apex of the cone

Generator

Vertex

The number e denotes the _________ of the conic:

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Directrix

Vertex

Focus

Eccentricity

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

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Normal

Bisects

Equal to

None of these

An angle in a semi-circle is:

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0°

90°

180°

60°

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

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

The opening of the parabola x²= 16y is to __________ of the x-axis:

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Left

Upward

Right

Downward

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

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

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Diameter

Chord

Radius

None of these

A line segment whose end points lie on the circle is called a __________ of the circle.

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Radius

Chord

Diameter

None of these

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

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

If the equation of the parabola is y2 = 4ax, then opening of the parabola is to the right of the:

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x-axis

y = x

y-axis

x + y =0

The focus of the parabola x² = 4ay:

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(0, a)

(-a , 0)

(0, -a)

(a, 0)

The curves obtained by cutting a __________ double right circular cone by a _______ are called conics:

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Straight line

Plane

Curve

None of these

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

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Left

Upward

Right

Downward

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If a circle and a line intersect in two points, then the line is called:

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A chord

A secant

A diameter

None of these

If r is the radius of any circle and C its center, then any point P(x₁, y₁) lies outside the circle only if:

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|CP| < r

|CP| = r

|CP| > r

None of these

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