The number of real solutions of (x,y), where |y|= x, y= ^ -1 ( x), -2 x 2 , is

JEE Advanced Mathematics question

Not in JEE Main syllabus

The number of real solutions of , where , , , is

Answer: (C)

, so and we need . On each piece:

- : ; (since for ). Solution . - : , while ; equality only if both are : . Solution

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Question ID VK-108626