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If |x218x|=|62186|, then x is equal to ______. - Mathematics

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Question

If `|(x, 2),(18, x)| = |(6,2),(18,6)|`, then x is equal to ______.

Options

  • 6

  • ±6

  • −6

  • 0

MCQ
Fill in the Blanks

Solution

If `|(x, 2),(18, x)| = |(6,2),(18,6)|`, then x is equal to ±6.

Explanation:

`abs ((x, 2),(18, x)) = abs ((6,2),(18,6))`

`x^2 - 36 = 36 - 36`

`x^2 = 36`

`x = pm 6`

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Chapter 4: Determinants - Exercise 4.1 [Page 109]

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NCERT Mathematics [English] Class 12
Chapter 4 Determinants
Exercise 4.1 | Q 8 | Page 109

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