Find the equation of the locus of points twice as far from as from .

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Find the equation of the locus of points twice as far from (−a,0)(-a,0) as from (a,0)(a,0). (1) x2−2y2=a2x^2-2y^2=a^2 (2) x2+2y2=a2x^2+2y^2=a^2 (3) x2−2y2=2a2x^2-2y^2=2a^2 (4) x2+2y2=2a2x^2+2y^2=2a^2

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