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Maths Relations and Functions General Numeric Response
Published on: August 11, 2026

Let , where is a variable coefficient and . Then the value of such that touches is (where [ ⋅ ] represents greatest integer function) .

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The correct answer is:
5

(5)

and can only intersect on the line and, therefore, must be tangent at the common point of tangency. Hence,

This equation must have equal roots. Therefore,

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