The points and are the foci of a curve

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The points F1(−4,0)F_1(-4,0) and F2(4,0)F_2(4,0) are the foci of a curve. For any point P(x,y)P(x,y) on the curve, ∣PF2−PF1∣=6|PF_2-PF_1|=6. Derive the standard equation of the curve.

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