Mathematics · Calculus
Consider the function f(x) = ln x4 - ax + x2, where x > 0 and a ≥ 0 is a real constant. Match the statements in Column-I with the correct options in Column-II. Column-I (A) f(x) has a local maximum (B) f(x) has a local minimum (C) f(x) has a point of inflection (D) f(x) is strictly increasing for all x > 0 Column-II (P) a = 1, x = 12 (Q) a > 1, x = a - √(a2 - 1)2 (R) 0 ≤ a 1, x = a + √(a2 - 1)2 (T) a = 12, x = 1
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1A→Q, B→R, C→T, D→P
- 2A→Q, B→S, C→P, D→R✓
- 3A→T, B→R, C→R, D→P
- 4A→Q, B→S, C→R, D→P
Correct answer
A→Q, B→S, C→P, D→R
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