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Precalculus > Conic Sections & Equations Of The Circle > Flashcards

Conic Sections & Equations Of The Circle Flashcards

1
Q

The center of a circle is (0,10). The radius is 10.

Find k.

A

10

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2
Q

Determine the center and the radius of the circle : (x-1)^2 + (y+2)^2 = 64

A

C (1,-2) ; r = 8

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3
Q

Determine the center and the radius of the circle: x^2 + y^2 + 14x - 8y + 16 = 0

A

C (-7, 4); r = 7

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4
Q

Determine the value of h in its center: x^2 + y^2 + 12x - 10y - 3 = 0

A

-6

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5
Q

The center of a circle is (10,-6). The radius is 10. Find h.

A

10

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6
Q

This is formed when a nappe is intersected by a plane that is parallel to the base of the cone.

A

Circle

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7
Q

This is any one of the two cones joined through their vertices.

A

Nappe

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8
Q

This is formed when a nappe is intersected by a plane that is unparallel to any generator of the cone.

A

Ellipse

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9
Q

The center of a circle is (2,6). If the radius is 10 determine its equation in standard form.

A

(x-2)^2 + (y-6)^2 = 100

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10
Q

This is formed when a nappe is intersected by a plane that is parallel to any generator of the cone.

A

Parabola

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11
Q

Write the equation in standard form: x^2 + y^2 + 12x - 10y - 3 = 0

A

(x+6)^2 + (y-5)^2 = 64

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12
Q

The equation of the circle centered at (-3,5) and whose radius is 8 units.
Find r.

A

8

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13
Q

The Circle centered at (-3,5) and whose radius is 8 units. Find r^2.

A

64

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14
Q

Determine the value of r as the radius of the given.

x^2 + y^2 - 10x + 12y - 3 = 0

A

8

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15
Q

The equation of the circle centered at (-3,5) and whose radius is 8 units.
Find h.

A

-3

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16
Q

The center of a circle is (0,-6). The radius is 10

Find r^2

A

100

17
Q

Determine the center and the radius of the circle x^2+y^2=81.
Center:
radius:

A

C (0,0); r = 9

18
Q

Find the equation of the circle centered at (-3,4) and whose radius is 6 units. (Standard Form)

A

(x+3)^2 + (y-4)^2 = 36

19
Q

The center of a circle is (0,-6). The radius is 6

Find r

A

6

20
Q

The circle centered at (-3,5) and whose radius is 8 units. Find k.

A

5

21
Q

This is formed when two nappes are intersected by a plane that is perpendicular to the bases of the cone.

A

Hyperbola

22
Q

The two lines from the opposite sides of a right cylinder that can be rotated through their midpoints to form two cones joining through their vertices.

A

Generators

23
Q

Determine the value of k in its center .

x^2 + y^2 + 12x - 10y - 3 = 0

A

5

Precalculus (1 decks)

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