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disa [49]
3 years ago
10

How can the equation of a parabola be derived when given the focus and the directrix

Mathematics
1 answer:
erica [24]3 years ago
7 0
If the focus<span> of a </span>parabola<span> is and the </span>directrix<span> is , find the</span>equation<span> of the </span>parabola. Let ( x 0 , y 0 ) be any point on theparabola. Find the distance between ( x 0 , y 0 ) and the focus. Then find the distance between ( x 0 , y 0 ) and directrix<span>.</span>
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Answer:

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Step-by-step explanation:

For a circle with the center at the origin [(h,k) is (0,0)]

use the formula:

x^2 + y^2 = r^2

In this case r is 2sqroot3.

(2sqroot3)^2 is 12.

2•2•sqrt3•sqrt3

= 4•3

= 12

So we get,

x^2 + y^2 = 12

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