Show that equation of the locus of a point which moves so that diff...

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Show that equation of the locus of a point which moves so that difference of its distance from two given points \( (a e, 0) \) and \( (-a e, 0) \) is equal to \( 2 a \) is \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{a^{2}\left(e^{2}-1\right)}=1 \).
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