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(i) Prove that the line y = 2x touches the circle x^(2) + y^(2) + 16x + 12y 4-80 = 0 and find the co-ordinates of the point of contact. (ii) The circle x^(2) + y^(2) -6 x - 10y + y = 0 does not intersect or touch either axis and the point (1,4) is inside the circle. Calculate the range of possible values of p . |
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