If three parabolas touch all the lines \( x=0, y=0 \) and \( \mathr...

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If three parabolas touch all the lines \( x=0, y=0 \) and
\( \mathrm{P} \) \( x+y=2 \), the maximum area of the triangle formed

W by joining their foci is:
(1) \( \sqrt{3} \)
(2) \( \sqrt{6} \)
(3) \( \frac{3 \sqrt{3}}{4} \)
(4) \( \frac{3 \sqrt{3}}{2} \)
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