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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Select the correct option from the given alternatives: |b+cc+aa+bq+rr+pp+qy+zz+xx+y| =

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प्रश्न

Select the correct option from the given alternatives:

`|("b" + "c", "c" + "a", "a" + "b"),("q" + "r", "r" + "p", "p" + "q"),(y + z, z + x, x + y)|` = 

पर्याय

  • `2|("c", "b", "a"),("r", "q", "p"),(z, y, x)|`

  • `2|("b", "a", "c"),("q", "p", "r"),(y, x, z)|`

  • `2|("a", "b", "c"),("p", "q", "r"),(x, y, z)|`

  • `2|("a", "c", "b"),("p", "r", "q"),(x, z, y)|`

MCQ
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उत्तर

`2|("a", "b", "c"),("p", "q", "r"),(x, y, z)|`

Explanation;

Let D = `|("b" + "c", "c" + "a", "a" + "b"),("q" + "r", "r" + "p", "p" + "q"),(y+ z, z + x, x + y)|`

D = `|(2("a" + "b" + "c"), "c" + "a", "a" + "b"),(2("p" + "q" + "r"), "r" + "p", "p" + "q"),(2(x + y + z), z + x, x + y)|`  ...[By C1 + C2 + C3]

D = `2|("b", "c" + "a", "a" + "b"),("q", "r" + "p", "p" + "q"),(y, z + x, x + y)|`   ...[By C1 – C2]

D = `2|("b", "c" + "a", "a"),("q", "r" + "p", "p"),(y, z + x, x)|`   ...[By C3 – C1]

D = `2|("b", "c", "a"),("q", "r", "p"),(y, z, x)|`   ...[By C2 – C3]

D = `-2|("b", "a", "c"),("q", "p", "r"),(y, x, z)|`  ...[By C2 ↔ C3]

D = `2|("a", "b", "c"),("p", "q", "r"),(x, y, z)|`  ...[By C1 ↔ C2]

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पाठ 4: Determinants and Matrices - Miscellaneous Exercise 4(A) [पृष्ठ ७६]

APPEARS IN

बालभारती Mathematics and Statistics (Arts and Science) Part 1 [English] Standard 11 Maharashtra State Board
पाठ 4 Determinants and Matrices
Miscellaneous Exercise 4(A) | Q I. (5) | पृष्ठ ७६

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