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Find the value (s) of x, if |12x4x1416111| = 0

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Question

Find the value (s) of x, if `|(1, 2x, 4x),(1, 4, 16),(1, 1, 1)|` = 0

Sum
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Solution

`|(1, 2x, 4x),(1, 4, 16),(1, 1, 1)|` = 0

∴ 1(4 – 16) – 2x(1 – 16) + 4x(1 – 4) = 0
∴ 1(– 12) – 2x(–15) + 4x(– 3) = 0
∴ – 12 + 30x – 12x = 0
∴ 18x = 12

∴ x = `12/18= 2/3`

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Chapter 6: Determinants - MISCELLANEOUS EXERCISE - 6 [Page 94]

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Balbharati Mathematics and Statistics (Commerce) Part 1 [English] Standard 11 Maharashtra State Board
Chapter 6 Determinants
MISCELLANEOUS EXERCISE - 6 | Q 2) ii) | Page 94
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