MIDTERMS Flashcards

1
Q

The locus/path of a point which moves so that it’s distance from a fixed point is in constant ratio to its distance from a fixed line.

A

Conic Section

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2
Q

Define focus

A

The fixed point

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3
Q

The constant ratio

A

Eccentricity

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4
Q

define directrix

A

the fixed line

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5
Q

They are formed when a plane is made to intersect a right circular cone.

A

Conic Scetions

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6
Q

By determining the determinant/ the value of eccentricity, what can we identify?

A

The kind of conic section

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7
Q

What is the kind of conic section if the value of e = 1.0?

A

parabola (B²-4ac=0)

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8
Q

The conic is an ellipse if the eccentricity is lesser than 1?

A

ellipse ( e< 1)

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9
Q

What is the eccentricity of hyperbola?

A

greater than 1

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10
Q

if A = C, the conic is circle. True or False?

A

True

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11
Q

if A ≠ C but same signs, the conic is ellipse. True or False?

A

True

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12
Q

if A and C have different signs, the conic is parabola. True or False?

A

False. Hyperbola

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13
Q

If either A or C is zero, the conic is parabola. True or False?

A

True da fire

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14
Q

A locus of a point which moves do that it is equidistant from a fixed point called center.

A

Circle

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15
Q

If the parabola’s axis is parallel to the x -axis, it opens in what direction?

A

left or right

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16
Q

Ratio of the distance from a point to the focus and to the distance of a point to the directrix.

A

Eccentricity

17
Q

Line that passes through the focus and perpendicular to the axis of the conic.

A

LR

18
Q

Directrix

A

basta a fixed straight line

19
Q

The locus of a point which moves so that it is always equidistant to a fixed point and fixed straight line.

A

Parabola

20
Q

A locus of a point which moves so that the sum of its distance to the fixed points is constant and is equal to the length of the major axis.

A

Ellipse