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let us take the volume of both the liquids be V and their density is P1 and P2.
we know,
V = mass / density
V + V = mass/ P1 + mass/P2
2V = P1 + P2 / P1*P2
V = P1 + P2/ 2 P1*P2
now, density = mass/ volume
density = 1/ P1 + P2/ 2P1*P2
density = 2P1*P2/ P1 + P2
hence, option C is correct.
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