what is the condition of tangency to parabola
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A line touching the parabola is said to be a tangent to the parabola provided it satisfies certain conditions. If we have a line y = mx + c touching a parabola y2 = 4ax, then c = a/m. Similarly, the line y = mx + c touches the parabola x2 = 4ay if c = -am2.
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