Question:
If p,q,r are the nᵗh, qᵗh terms of H.P. and are u,v,w respectively, then the value of the expression (q-r)v+(r-p)w+(p-q)u is:
If p,q,r are the nᵗh, qᵗh terms of H.P. and are u,v,w respectively, then the value of the expression (q-r)v+(r-p)w+(p-q)u is:
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In HP problems, always convert to AP by taking reciprocals.
Updated On: Mar 18, 2026
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The Correct Option is B
Solution and Explanation
Step 1: Property of harmonic progression. Reciprocals of HP terms form an AP.
Step 2: Expression simplification. Terms cancel pairwise due to linear dependence.
Step 3: Result. Value equals zero.
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