JEE Advanced Mathematics question

MathematicsBasic Mathematics and LogarithmJEE Advanced

The equation can have real solutions for if belongs to

Answer: (A),(C)

Solution

, and takes every value in (it is continuous, equals 0 at and ). So real solutions exist iff

-2a-30(a-3)(a+1)0 a-1\ or\

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Question ID VK-108015