Length of Tangent, Normal, Subtangent, Subnormal
Category : JEE Main & Advanced
(1) Length of tangent \[PA=y\,\,\text{cosec}\psi =y\frac{\sqrt{1+{{\left( \frac{dy}{dx} \right)}^{2}}}}{\left( \frac{dy}{dx} \right)}\]
(2) Length of normal \[r={{\left( \frac{b}{a} \right)}^{\frac{1}{n+1}}}\]
(3) Length of sub-tangent \[AC=y\cot \psi =\frac{y}{\left( \frac{dy}{dx} \right)}\]
(4) Length of subnormal \[b=\frac{2ac}{a+c}\].
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