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Q.

If a, b, c are respectively the pth, qth, rth terms of an HP then (q-r)bc+(r-p)ca+(p-q)ab=

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a

pbc + qca + rab

b

0

c

(p + q + r)abc

d

abc

answer is D.

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Detailed Solution

A+(p−1)D=1a⇒A+(q−1)D=1b A+(r−1)D=1cgives (p−q)D=b−aab⇒(p−q)ab=b−aD  
gives ⇒∑(p−q)ab=0

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