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A liquid contains a mixture of two liquids A and B in the ratio 7:5.
When 9 litres of mixture are drawn off and the can is filled with B. the ratio of A and B becomes 7:9.
Litres of liquid A contained by the can initially was?

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if sin^8 θ + cos^8 θ - 1 = 0, then what is the value of cos^2 θ sin^2 θ (if θ ≠ 0 or π/2)?

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