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Question Number 42668 by bbnnftm833 last updated on 31/Aug/18

$$\mathrm{If}$$$$\mid a{\sin }^2\theta +b\sin \theta \cos \theta +c{\cos }^2\theta -\frac{1}{2}(a-c)\mid$$$$⩽\frac{1}{2}k,\mathrm{then}{k}^2\mathrm{is}\mathrm{equal}\mathrm{to}$$

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