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The determinant ∆ = |cos(x+y)-sin(x+y)cos2ysinxcosxsiny-cosxsinxcosy| is independent of x only.

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Question

The determinant ∆ = `|(cos(x + y), -sin(x + y), cos2y),(sinx, cosx, siny),(-cosx, sinx, cosy)|` is independent of x only.

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is True.

Explanation:

Apply R1 → R1 + sinyR2 + cosyR3, and expand

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Chapter 4: Determinants - Solved Examples [Page 76]

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NCERT Exemplar Mathematics Exemplar [English] Class 12
Chapter 4 Determinants
Solved Examples | Q 15 | Page 76
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