draw a pair of perpendicular tangents of length 5cm to a circle
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Let the tangents be drawn from an external point (p,q) and let the tangents meet the circle at the points (x1,y1) and (x2, y2) respectively, now differentiating the circle equation and substituting the respective points we get the slope of the tangent and the products of slopes is -1 as they are perpendicular, from it all the points can be calculated and the tangent can be drawn successfully.
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