Question
If the chord y = mx + 1 of the circle x^{2} + y^{2} = 1 subtends an angle of 45^{o}at the major segment of the circle, then m =

1, 2

±1

±2

None of these
medium
Solution
±1
Since chord AB subtends 45^{o} at P. Therefore, it makes 90^{o} at the centreO.
The combine equation of OA and OB is
Lines given by this equation are at right angle.
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