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JEE Advanced Mathematics question

MathematicsDeterminantsJEE Advanced

The value of the determinant

,

where are the th, th and th terms of a HP, is

Answer: (C)

Solution

Since are terms of an HP, are the th, th, th terms of an AP with first term and common difference : . Taking out of (, etc.):

Δ =

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Question ID VK-108253