NIMCET 2023 — Mathematics PYQNIMCET | Mathematics | 2023If the equation ∣x2−6x+8∣+a has four real solution then find the value of a?Choose the correct answer:A. a∈0B. a=1C. a∈(0,1) (Correct Answer)D. a∈[1,2]Correct Answer: a∈(0,1)Explanation**(c)** Let y=x2−6x+8 Hence, for 4 solutions a must lie between (0,1).Aa∈0Ba=1Ca∈(0,1)Da∈[1,2]Show Answer SExplanation**(c)** Let y=x2−6x+8 Hence, for 4 solutions a must lie between (0,1).