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Find the value of 'x' for which |3xx1|=|3241| -

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Question

Find the value of 'x' for which `|(3, x),(x, 1)| = |(3, 2),(4, 1)|`

Options

  • `sqrt(2)`

  • `- sqrt(2)`

  • `+- 2 sqrt(2)`

  • `+- 3 sqrt(2)`

MCQ

Solution

`+- 2 sqrt(2)`

Explanation:

We have `|(3, x),(x, 1)| = |(3, 2),(4, 1)|`

i.e., `3 - x^2 = 3 - 8 => x^2 = 8`

Hence `x = +- 2sqrt(2)`

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