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Select the correct option from the given alternatives: Let D = |sinθ⋅cosϕsinθ⋅sinϕcosθcosθ⋅cosϕcosθ⋅sinϕ-sinθ-sinθ⋅sinϕsinθ⋅cosϕ0| then

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Question

Select the correct option from the given alternatives:

Let D = `|(sintheta*cosphi, sintheta*sinphi, costheta),(costheta*cosphi, costheta*sinphi, -sintheta),(-sintheta*sinphi, sintheta*cosphi, 0)|` then

Options

  • D is independent of θ

  • D is independent of Φ

  • D is a constant

  • `"dD"/"d"` at `theta = pi/2` is equal to 0

MCQ
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Solution

D is independent of Φ

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Chapter 4: Determinants and Matrices - Miscellaneous Exercise 4(A) [Page 75]

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Balbharati Mathematics and Statistics (Arts and Science) Part 1 [English] Standard 11 Maharashtra State Board
Chapter 4 Determinants and Matrices
Miscellaneous Exercise 4(A) | Q I. (3) | Page 75
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