Find the equation of the circle whose diameter is the chord x + y = 3 of the circle x2 + y2 - 2x - 3 = 0
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Answer:
The equation represents the equation of the parabola with focus (-3, 3) and directrix y = 7.
Step-by-step explanation:
To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).
Using the distance formula , we find that the distance between (x, y) is
and the distance between (x, y) and the directrix y = 7 is
.
On the parabola, these distances are equal so, we solve for y: