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Provide solution for RD Sharma maths Class 12 Chapter 5 Determinants Exercise VSQ Question 50 maths textbook solution.

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Hint: Here we use basic concept of determinant of matrix

Given: \left|\begin{array}{cc} p & p+1 \\ p-1 & p \end{array}\right|

Solution :

\begin{aligned} &(p \times p)-[(p-1 \times p+1)] \\ &=p^{2}-\left[p^{2}-1\right] \quad \because\left(A^{2}-B^{2}=(A-B)(A+B)\right) \\ &=p^{2}-p^{2}+1 \\ &=1 \end{aligned}

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