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Evaluate |1xy1x+yy1xx+y| - Mathematics

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प्रश्न

Evaluate `|(1,x,y),(1,x+y,y),(1,x,x+y)|`

योग

उत्तर

Let, Δ = `[(1,x,y),(1,x+y,y),(1,x,x+y)]` 

Applying R2 → R2 - R1 and R3 → R3 - R1, we get

`= |(1,x,y), (0,y,0), (0, 0,x)|`

= 1 × y × x

= xy

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अध्याय 4: Determinants - Exercise 4.7 [पृष्ठ १४२]

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एनसीईआरटी Mathematics [English] Class 12
अध्याय 4 Determinants
Exercise 4.7 | Q 10 | पृष्ठ १४२

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