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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Find the value of x if |x-122x1-33-45| = 29 - Mathematics and Statistics

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प्रश्न

Find the value of x if `|(x, -1, 2),(2x, 1, -3),(3, -4, 5)|` = 29 

बेरीज

उत्तर

`|(x, -1, 2),(2x, 1, -3),(3, -4, 5)|` = 29 

∴ `x|(1, -3),(-4, 5)|-(-1)|(2x, -3),(3, 5)|+ 2|(2x, 1),(3, -4)|` = 29

∴ x(5 – 12) + 1(10x + 9) + 2(–8x – 3) = 29

∴ –7x + 10x + 9 – 16x – 6 = 29

∴ –13x + 3 = 29

∴ –13x = 26

∴ x = – 2

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Definition and Expansion of Determinants
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Determinants and Matrices - Exercise 4.1 [पृष्ठ ६३]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board
पाठ 4 Determinants and Matrices
Exercise 4.1 | Q 2) ii) | पृष्ठ ६३
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