CUET MathematicsCalculus > Easycommon(A) - (IV), (B) - (II), (C) - (I), (D) - (III)(A) - (II), (B) - (III), (C) - (I), (D) - (IV)(A) - (IV), (B) - (III), (C) - (II), (D) - (I)(A) - (IV), (B) - (III), (C) - (I), (D) - (II)✅ Correct Option: 4Related questions:2 June Shift 1If x=−1x = -1x=−1 and x=−2x = -2x=−2 are the extreme points of f(x)=αlog∣x∣+βx2+xf(x) = \alpha\log|x| + \beta x^2 + xf(x)=αlog∣x∣+βx2+x then14 May Shift 2The function f(x)=x−2x+1,x≠−1f(x) = \frac{x - 2}{x + 1}, x \neq -1f(x)=x+1x−2,x=−1 is increasing when (Where R\mathbb{R}R is a set of real numbers)27 May Shift 1If f(x)=sinx−cosxf(x) = \sin x - \cos xf(x)=sinx−cosx, x∈[0,2π]x \in [0, 2\pi]x∈[0,2π] then (A) f(x)f(x)f(x) is increasing in (0,3π4)(0, \frac{3\pi}{4})(0,43π) (B) f(x)f(x)f(x) is decreasing in (0,3π4)(0, \frac{3\pi}{4})(0,43π) (C) f(x)f(x)f(x) is decreasing in (3π4,7π4)(\frac{3\pi}{4}, \frac{7\pi}{4})(43π,47π) (D) f(x)f(x)f(x) is decreasing in (7π4,2π)(\frac{7\pi}{4}, 2\pi)(47π,2π) Choose the correct answer from the options given below: