MHT CET 2025 Mathematics question

If is real, then the difference between the greatest and least values of is

Answer: (B)

Solution

Let . Cross-multiplying: . For real the discriminant must be non-negative: 1)^{2}1)^{2}$0⇒ (y+1-2y+2)(y+1+2y-2)0⇒ (3-y)(3y-1)0⇒

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Question ID VK-102297