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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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