For the curve C : (x^ 2 + y^ 2 - 3) + (x^ 2 - y^ 2 - 1)^ 5 = 0, the value of 3y' - y^ 3 y″, at the point ( , ), > 0, on C is equal to _____ .

JEE Main 2022 Mathematics question

For the curve C : , the value of , at the point (, ), , on C is equal to .

Answer: 16

At the point (, ): , so and . Differentiating, , so at (, ): $ +

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Question ID VK-034351