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3 marksAlgebraic Operations

CAPE Pure Mathematics Unit 1 · May/June 2006 · Paper 1 · Question 2(b)

Let x, y, k in R such that (x + 1/2 y)^2 + ky^2 = x^2 + xy + y^2. Find the value of k.

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  1. 2(a)Let A = {x : 2 <= x <= 7} and B = {x : |x - 4| <= h}, h in R. Find the LARGEST value of h for which B subset of A.[6 marks]

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