The area bounded between the curves y=ax^2 and x=ay^2 (a>0) is 1 sq. units then the value of a is

MHT CET 2024 Mathematics question

The area bounded between the curves and is 1 sq. units then the value of is

Answer: (A)

Intersection: substituting in gives or , so the curves meet at and . Between them gives the upper curve and the lower. Area \int_0^{1/a}\sqrt\tfrac$

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Question ID VK-093417