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