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JEE Math Practice Question

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 :

  1. A.$$2\, \pm \,\sqrt 2 \,\,$$
  2. B.$$ - \,2\, \pm \,\sqrt 2 \,$$
  3. C.$$- 1\, \pm \,\sqrt 2 \,\,$$
  4. D.none of these

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