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CUET · MATHS · PYQ PAPER 2025

Match List-I with List-II
List-IList-II
(A) The maximum value of \(f(x)=\sin (3 x)+6\)(I) 2
(B) The maximum value of \(f(x)=-|x+2|+4\)(II) 5
(C) The maximum value of \(f(x)=(3 x+1)^2+5\)(III) 7
(D) The maximum value of \(f(x)=2 \cos x+4\)(IV) 4
Choose the correct answer from the options given below:

  1. A (A) - (IV), (B) - (III), (C) - (I), (D) - (II)
  2. B (А) - (III), (В) - (IV), (C) - (II), (D) - (I)
  3. C (А) - (II), (В) - (IV), (C) - (I), (D) - (III)
  4. D (А) - (III), (В) - (II), (C) - (I), (D) - (IV)
Verified Solution

Answer & Solution

Correct Answer

(B) (А) - (III), (В) - (IV), (C) - (II), (D) - (I)

Step-by-step Solution

Detailed explanation

For (A): Max \(f(x)=\sin (3 x)+6 \implies 1+6=7\). For (B): Max \(f(x)=-|x+2|+4 \implies 0+4=4\). For (C): Value of \(f(x)=(3 x+1)^2+5 \implies 0+5=5\). For (D): Value of \(f(x)=2 \cos x+4 \implies 2(-1)+4=2\). (A) - (III) (B) - (IV) (C) - (II) (D) - (I)