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The parameter, on which the value of the determinant   does not depend upon is
  • a)
    a
  • b)
    p
  • c)
    d
  • d)
    x
Correct answer is option 'B'. Can you explain this answer?
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The parameter, on which the value of the determinant does not depend ...
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The parameter, on which the value of the determinant does not depend ...


Expanding along C1, we get
Δ = (1 + a2 – 2a cos dx) [sin (p + d) x cos px  – sin px cos (p + d)x]
⇒ Δ = (1 + a2 – 2a cos dx) [sin {(p + d)x – px}]
⇒ Δ = (1 + a2 – 2a cos dx) [sin dx]
which is independent of p.
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