MamaBearr8087 MamaBearr8087

26-03-2024
Mathematics

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A variable line passing through the origin intersects two given straight lines 2x+y=4 and x+3y=6 at R and S respectively. A point P is taken on this variable line. Find the equation to the locus of the point P if
(a) OP is the arithmetic mean of OR and OS.
(b) OP is the geometric mean of OR and OS
(c) OP is an harmonic mean of OR and OS

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