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  • Please solve RD Sharma class 12 chapter Determinants exercise 5.1 question 10 subquestion (iii) maths textbook solution

Please solve RD Sharma class 12 chapter Determinants exercise 5.1 question 10 subquestion (iii) maths textbook solution

Answers (1)

Answer:

x=\pm 2\sqrt{2}

Hint:

Take determinant of matrix on both side and equate it.

Given:

\begin{aligned} &\left|\begin{array}{ll} 3 & x \\ x & 1 \end{array}\right|=\left|\begin{array}{ll} 3 & 2 \\ 4 & 1 \end{array}\right| \\ \end{aligned}

Solution:

\begin{aligned} &\left|\begin{array}{ll} 3 & x \\ x & 1 \end{array}\right|=\left|\begin{array}{ll} 3 & 2 \\ 4 & 1 \end{array}\right| \\ &3-x^{2}=3-8 \\ &-x^{2}=-5-3 \\ &x^{2}=8 \\ &x=\pm 2 \sqrt{2} \end{aligned}

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Gurleen Kaur

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