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  • Explain solution RD Sharma class 12 chapter Determinants exercise 5.1 question 10 subquestion (ii) maths

Explain solution RD Sharma class 12 chapter Determinants exercise 5.1 question 10 subquestion (ii) maths

Answers (1)

Answer:

x=2

Hint:

Take determinant of matrix on both side and equate it.

Given:

\begin{aligned} &\left|\begin{array}{ll} 2 & 3 \\ 4 & 5 \end{array}\right|=\left|\begin{array}{cc} x & 3 \\ 2 x & 5 \end{array}\right| \end{aligned}

Solution:

\begin{aligned} &\left|\begin{array}{ll} 2 & 3 \\ 4 & 5 \end{array}\right|=\left|\begin{array}{cc} x & 3 \\ 2 x & 5 \end{array}\right| \\ &10-12=5 x-6 x \\ &-2=-x \\ &x=2 \end{aligned}

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Gurleen Kaur

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