Question # 1

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

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

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|CP| < r

|CP| > r

|CP| = r

None of these

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

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x = a

x = - a

y = a

y = -a

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 condition for the line y = mx + c to be a tangent to the circle x² + y² = a² is c = _____________:

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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

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 vertex of the parabola x² = -4ay is:

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(a, 0)

(0, 0)

(0, -a)

(0, a)

The radius of point circle is:

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0

(0, 0)

r

1

The focus of the parabola x² = 4ay:

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(0, a)

(-a , 0)

(0, -a)

(a, 0)

If the radius of a circle is zero, then the circle is called a / an:

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Circle

Circular cone

Ellipse

Point circle

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

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

The equation x² + y² + 2x + 3y = 10 represents a:

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A pair of lines

Circle

Ellipse

Hyperbola

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

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x-axis

major axis

y-axis

minor axis

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

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Ellipse

Parabola

Hyperbola

None of these

The two parts of a right circular cones are called:

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Nappes

Apex of the cone

Generator

Vertex

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

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Left

Upward

Right

Downward

One of the angles of a triangle inscribed in a circle is of 40°. If one of its' the diameter, the other angles have the measures:

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30°, 110°

40°, 100°

50°, 90°

20°, 120°

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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