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  • Explain solution RD Sharma class 12 chapter Determinants exercise 5.1 question 2 subquestion (i) maths

Explain solution RD Sharma class 12 chapter Determinants exercise 5.1 question 2 subquestion (i) maths

Answers (1)

Answer:

D=5x^{2}+8x

Hint:

Determinant matrix must be square (i.e. same number of rows and columns)

Given:

\begin{vmatrix} x &-7 \\ x &5x+1 \end{vmatrix}

Solution:

\begin{aligned} &\mathrm{D}=\mathrm{a}_{11} \times \mathrm{C}_{11}+\mathrm{a}_{21} \times \mathrm{C}_{21} \\ &=\mathrm{x}(5 \mathrm{x}+1)+(-7 \mathrm{x}) \\ &=5 \mathrm{x}^{2}+\mathrm{x}+7 \mathrm{x} \\ &=5 \mathrm{x}^{2}+8 \mathrm{x} \end{aligned}

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Gurleen Kaur

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