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Tangent Condition in General Line Form
For the line:
$$lx+my+n=0$$
to be tangent to:
$$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$$
the condition is:
$$n^2=a^2l^2+b^2m^2$$
Usage
- Used to test tangency when the line is given in general form.
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Tangent Condition in General Line Form
For the line:
$$lx+my+n=0$$
to be tangent to:
$$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$$
the condition is:
$$n^2=a^2l^2+b^2m^2$$
Usage
- Used to test tangency when the line is given in general form.
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