Statement I The maximum value of cannot be 2 (where is positive rational number)

MATHEMATICS · Subjective · CBSE · Mathematics · Number Systems · Number Systems

Problem

Statement I The maximum value of sin⁡2x+sin⁡ax\sin \sqrt{2}x + \sin ax cannot be 2 (where aa is positive rational number). Statement II 2a\frac{\sqrt{2}}{a} is irrational.

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