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  • Explain Solution R. D. Sharma Class 12 Chapter deteminants Exercise 5.2 Question 52 Sub Question 8 maths Textbook Solution.

Explain Solution R. D. Sharma Class 12 Chapter  deteminants Exercise 5.2 Question 52 Sub Question 8 maths Textbook Solution.

Answers (1)

Answer:x=2,1

Hint: Use determinant formula

Given: \left|\begin{array}{ccc} 1 & 1 & x \\ p+1 & p+1 & p+x \\ 3 & x+1 & x+2 \end{array}\right|

Solution:

\begin{aligned} &\text { Apply } \mathrm{C}_{1} \rightarrow C_{1}-C_{2}\\ &\left|\begin{array}{ccc} 0 & 1 & x \\ 0 & p+1 & p+x \\ 2-x & x+1 & x+2 \end{array}\right|=0\\ &\text { Expand from } \mathrm{C}_{1}\\ &(2-x)(p+x-x(p+1))=0\\ &(2-x)(p+x-p x-x)=0\\ &(2-x)(1-x)=0\\ &2-x=0,1-x=0\\ &x=2, x=1 \end{aligned}

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