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If l, m, n  are positive and are respectively the pth, qth and rth terms of a G.P., then

Δ=logl    p    1logm    q    1logn    r    1 is equal to 

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a
pqr
b
p + q + r
c
p + q + r + pqr
d
0

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detailed solution

Correct option is D

l=ARp−1,m=ARq−1,n=ARr−1Δ=a+(p−1)dp1a+(q−1)dq1a+(r−1)dr1where a=log⁡A,d=log⁡RUse C1→C1−(a−d)C3−dC3 to show ∆=0


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