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Question
Find the value of x, if `|(2,3),(4,5)|=|(x,3),(2x,5)|`.
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Solution
`|(2,3),(4,5)|=|(x,3),(2x,5)|`
⇒ 2 × 5 − 3 × 4 = x × 5 − 3 × 2x
⇒ 10 − 12 = 5x − 6x
⇒ −2 = −x
⇒ x = 2
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