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Question

y=cosx,yn=dn(cosx)dxn then ∣∣ ∣∣y4y5y6y7y8y9y10y11y12∣∣ ∣∣ =

A
0
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B
cosx
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C
cosx
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D
sinx
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Solution

The correct option is D 0
∣ ∣y4y5y6y7y8y9y10y11y12∣ ∣=∣ ∣sinxcosxsinxcosxsinxcosxsinxcosxsinx∣ ∣=sinx(sin2x+cos2x)cosx(sinxcosx+sinxcosx)sinx(cos2x+sin2x)=0

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