When Line meets a Parabola Flashcards

1
Q

When a straight line meets a parabola what is 1 scenario?

A

The line intersects at 2 points

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2
Q

When a straight line meets a parabola, what is another scenario?

A

The line meets the parabola at one point, its a tangent

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3
Q

When a straight line meets a parabola, what is the final scenario?

A

The line does not intersect at all

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4
Q

When are there 2 points of contact?

A

When b^2-4ac>0

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5
Q

When is there 1 point of contact?

A

When b^2-4ac=0

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6
Q

When is the 0 points of contact?

A

when b^2-4ac<0

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7
Q

If we are asked to prove any of the three scenarios, what equation will we use?

A

b^2-4ac

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