Match the following List-I with List-II.

List–I List–II

(I) Let f(x) =
x^3/5 if x ≤ 1
−(x−2)³ if x > 1
then the number of critical points on the graph of the function is (P) 1

(II) product of real solution of the equation,
log₂x + (x−1)log₂x = 6 − 2x, is (Q) 3

(III) The number of values of c such that the straight line
3x + 4y = c touches the curve x⁴/2 = x + y is (R) 4

(IV) If f(x) = ∫_x^x² (t−1) dt, 1 ≤ x ≤ 2,
then global maximum value of f(x) is (S) 1/2

(T) 2

Which is correct option?

List–I	List–II
(I) Let f(x) = x^3/5 if x ≤ 1 −(x−2)³ if x > 1 then the number of critical points on the graph of the function is	(P) 1
(II) product of real solution of the equation, log₂x + (x−1)log₂x = 6 − 2x, is	(Q) 3
(III) The number of values of c such that the straight line 3x + 4y = c touches the curve x⁴/2 = x + y is	(R) 4
(IV) If f(x) = ∫_x^x² (t−1) dt, 1 ≤ x ≤ 2, then global maximum value of f(x) is	(S) 1/2
	(T) 2

(I) → Q, (II) → S, (III) → P, (IV) → T

(I) → S, (II) → R, (III) → P, (IV) → T

(I) → Q, (II) → S, (III) → T, (IV) → V

(I) → Q, (II) → P, (III) → S, (IV) → T