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Question

If a1,a2,a3...anGP then the value of the determinant =∣ ∣loganlogan+1logan+2logan+3logan+4logan+5logan+6logan+7logan+8∣ ∣ equals

A
2
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B
1
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C
0
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D
-2
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Solution

The correct option is C 0
=∣ ∣loganlogan+1logan+2logan+3logan+4logan+3logan+6logan+7logan+4∣ ∣

a1,a2anare in GP

loga1,loga2...are in AP

=∣ ∣aa+da+2da+3da+4da+5da+6da+7da+8d∣ ∣

C2C2C1,C3C3C1

=∣ ∣ad2da+3dd2da+6dd2d∣ ∣

C2&C3 are similar

=0

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