JEE Main 2024 Mathematics question
If the function f : (−∞, −1] → (a, b] defined by is one-one and onto, then the distance of the point P(2b + 4, a + 2) from the line x + e⁻³y = 4 is
Answer: (C)
Solution
f′(x) = ·3(x − 1)(x + 1) ≥ 0 on (−∞, −1], so f is increasing there: a = = 0 and b = f(−1) = e³. So P
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