If the chord \( y=m x+1 \) of the circle \( x^{2}+y^{2}=1 \) subtends an angle of measure \( 45^...

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If the chord \( y=m x+1 \) of the circle \( x^{2}+y^{2}=1 \) subtends an angle of measure \( 45^{\circ} \) at the major segment of the circle, then the value of \( m \), is
(A) 2
(B) \( -2 \)
(C) \( -1 \)
(D) none of these
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