Maharashtra State BoardHSC Science (Electronics) 11th
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Select the correct option from the given alternatives: |b+cc+aa+bq+rr+pp+qy+zz+xx+y| = - Mathematics and Statistics

MCQ

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)|` = 

Options

  • `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)|`

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Solution

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

Explanation;

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

= `|(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]

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

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

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

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

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

  Is there an error in this question or solution?
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 4 Determinants and Matrices
Miscellaneous Exercise 4(A) | Q I. (5) | Page 76
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