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Tangency Condition for a Line in Slope Form
For:
$$y=mx+c$$
to touch:
$$x^2+y^2=a^2$$
the condition is:
$$c^2=a^2(1+m^2)$$
Usage
- Used to determine the constant or verify whether a line is tangent to a circle centred at the origin.
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Tangency Condition for a Line in Slope Form
For:
$$y=mx+c$$
to touch:
$$x^2+y^2=a^2$$
the condition is:
$$c^2=a^2(1+m^2)$$
Usage
- Used to determine the constant or verify whether a line is tangent to a circle centred at the origin.
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