If the points \( (4,7) \) and \( (\cos \theta, \sin \theta) \), where \( 0\theta\pi \), lie on t...

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If the points \( (4,7) \) and \( (\cos \theta, \sin \theta) \), where \( 0\theta\pi \), lie on the same side of the line \( x+y-1=0 \), then prove that \( \theta \) lies in the first quadrant.
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