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Q.

If l, m, n  are positive and are respectively the pth, qth and rth terms of a G.P., thenΔ=log⁡l    p    1log⁡m    q    1log⁡n    r    1 is equal to

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a

pqr

b

p + q + r

c

p + q + r + pqr

d

0

answer is D.

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Detailed Solution

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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