Match List-I with List-II
|
List-I |
List-II |
|
(A) The minimum value of $f(x) = (2x-1)^2+3$ |
(I) 4 |
|
(B) The maximum value of $f(x) = -|x+1|+4$ |
(II) 10 |
|
(C) The minimum value of $f(x) = \sin(2x) + 6$ |
(III) 3 |
|
(D) The maximum value of $f(x) = -(x-1)^2+10$ |
(IV) 5 |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → (A)-(III), (B)-(I), (C)-(IV), (D)-(II)
|
List-I |
List-II |
|
(A) The minimum value of $f(x) = (2x-1)^2+3$ |
(III) 3 |
|
(B) The maximum value of $f(x) = -|x+1|+4$ |
(I) 4 |
|
(C) The minimum value of $f(x) = \sin(2x) + 6$ |
(IV) 5 |
|
(D) The maximum value of $f(x) = -(x-1)^2+10$ |
(II) 10 |
(A) $f(x)=(2x-1)^2+3$
Minimum value occurs when $(2x-1)^2=0$
Minimum $=3$ → (III)
(B) $f(x)=-|x+1|+4$
Maximum value occurs when $|x+1|=0$
Maximum $=4$ → (I)
(C) $f(x)=\sin(2x)+6$
Minimum occurs when $\sin(2x)=-1$
Minimum $=5$ → (IV)
(D) $f(x)=-(x-1)^2+10$
Maximum occurs when $(x-1)^2=0$
Maximum $=10$ → (II)
Correct matching: A–III, B–I, C–IV, D–II.