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1. |
What is the greatest possible number of points of intersection of parabola and a line? |
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A. |
3 |
B. |
4 |
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C. |
1 |
D. |
2 |
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Hint |
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2. |
Find the locus of points in the coordinate plane that satisfy the equations
y = 20 - x2 and y = x2. |
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A. |
(6, 8) and (-4, -8) |
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B. |
no points of intersection |
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C. |
(2, 0) and (-3, -10) |
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D. |
(-3.2, 10) and (3.2, 10) |
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Hint |
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3. |
Which describes the locus of points in space that satisfy the equation
x2 + y2 = 4. |
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A. |
plane |
B. |
sphere |
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C. |
circle |
D. |
parabola |
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Hint |
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4. |
Find the locus of points in the coordinate plane that satisfy the equations
x2 + y = 4 and y = 2 - x. |
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A. |
(-3, 6) and (1, -1) |
B. |
(3, 7) and (-1, -1) |
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C. |
(-2, 4) and (1, 1) |
D. |
(-1, 3) and (2, 0) |
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Hint |
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5. |
What are the number of possible intersections of a circle and a line in a coordinate plane? |
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A. |
none, one point or two points |
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B. |
none, 2 points or a line segment |
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C. |
none, one point or an arc of a semicircle |
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D. |
none, 2 points or a chord |
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Hint |
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