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Please Solve R.D.Sharma Class 12 Chapter 4 Exercise MCQs Question 3 Maths Textbook Solution.

Answers (1)

Answer: The correct option is \text { (A), } B^{2}=B

Given:AB=A,BA=B

Solution:

It is Given that,

\mathrm{AB}=\mathrm{A}                                                                                                                                                    ....(1)

\mathrm{BA}=\mathrm{B}                                                                                                                                                    ....(2)

Now from Equation (2),

\begin{aligned} &B \times(A B)=B \\ &B^{2} A=B \end{aligned}

Again from Equation (2),

\begin{aligned} &\mathrm{B}^{2} \mathrm{~A}=\mathrm{BA} \\ &\mathrm{B}^{2}=\mathrm{B} \end{aligned}

So, the option (B) is correct.

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