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If |2x58x|=|6583|, then find x

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Question

If `|(2x, 5),(8, x)| = |(6, 5),(8, 3)|`, then find x

Sum
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Solution

We have `|(2x, 5),(8, x)| = |(6, 5),(8, 3)|`.

This gives 2x2 – 40 = 18 – 40

⇒ x2 = 9

⇒ x = ±3.

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Chapter 4: Determinants - Solved Examples [Page 69]

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NCERT Exemplar Mathematics Exemplar [English] Class 12
Chapter 4 Determinants
Solved Examples | Q 1 | Page 69

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