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Find the range of values of m for which ...

Find the range of values of `m` for which the line `y=m x+2` cuts the circle `x^2+y^2=1` at distinct or coincident points.

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The range of values of m for which the line y = mx + 2 cuts the circle x^(2)+y^(2) = 1 at distinct or coincident points is :

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The line x+2y+a=0 intersects the circle x^2+y^2-4=0 at two distinct points A and B. Another line 12x-6y-41=0 intersects the circle x^2+y^2-4x-2y+1=0 at two distincts points C and D. The value of 'a' so that the line x+2y+a=0 intersects the circle x^2+y^2-4=0 at two distinct points A and B is