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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Choose the correct alternative: If 0 ≤ θ ≤ π and the system of equations x + (sin θ)y – (cos θ)z = 0, (cos θ) x – y + z = 0, (sin θ) x + y + z = 0 has a non-trivial solution then θ is

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Question

Choose the correct alternative:

If 0 ≤ θ ≤ π and the system of equations x + (sin θ)y – (cos θ)z = 0, (cos θ) x – y + z = 0, (sin θ) x + y + z = 0 has a non-trivial solution then θ is

Options

  • `(2pi)/3`

  • `(3pi)/4`

  • `(5pi)/6`

  • `pi/4`

MCQ
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Solution

`pi/4`

shaalaa.com
Applications of Matrices: Solving System of Linear Equations
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Chapter 1: Applications of Matrices and Determinants - Exercise 1.8 [Page 50]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 1 Applications of Matrices and Determinants
Exercise 1.8 | Q 22 | Page 50

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