Questions

For the first four problems, find the distance between P and Q and find the coordinates of the midpoint (M) of Segment PQ. State the letter of the correct answer.

1) P(2, 4) and Q(5, 8)

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2) P(1, 4) and Q(4, –3)

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3) P(–3, –5) and Q(4, –7)

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4) P(0, 0) and Q(–5, –5)

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For the next two problems, find the center, circumference, and area of the circle with a diameter that has the given endpoints. State the letter of the correct answer.

5) P(4, 5) and Q(10, 13)

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6) P(5, 2) and Q(13, 17)

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For the next two problems, write the standard equation for the parabola that has the given characteristics. State the letter of the correct answer.

7) focus (2, 7); directrix y = 3

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8) focus (5, 1); directrix x = 0

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For the next two problems, write the standard equation of a circle that has the given radius and center. State the letter of the correct answer.

9) r = 5; C(2, 1)

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10) r = 4; C(3, –4)

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For the next two problems, write the equation of the circle in standard form. State the letter of the correct answer. (Review the previous two lessons for examples.)

11) Write the equation of the circle in standard form.

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12) Write the equation of the circle in standard form.

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For the next two problems, write the equation of the ellipse in standard form. State the letter of the correct answer. (Review the previous two lessons for examples.)

13) Write the equation of the ellipse in standard form.

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14) Write the equation of the ellipse in standard form.

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For the next two problems, write the equation of the hyperbola in standard form. State the letter of the correct answer. (Review the previous two lessons for examples.)

15) Write the equation of the hyperbola in standard form.