If x^ 2 +y^ 2 =t+ 1 t , x^ 4 +y^ 4 =t^ 2 + 1 t^ 2 , then dy dx =

MHT CET 2024 Mathematics question

If then

Answer: (D)

Square the first relation: , i.e. (using the second relation). So , i.e. , or . Differentiating (constant) gives , so

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Question ID VK-096875