Length of Intercept Made on Axes by The Tangent
Category : JEE Main & Advanced
Equation of tangent at any point \[({{x}_{1}},\,{{y}_{1}})\] to the curve \[y=f(x)\] is \[{{G}_{2}}\], then x-intercept \[={{x}_{1}}-\left[ \frac{{{y}_{1}}}{{{\left( \frac{dy}{dx} \right)}_{({{x}_{1}},\,{{y}_{1}})}}} \right]\] and y-intercept = \[{{y}_{1}}-\left[ {{x}_{1}}{{\left( \frac{dy}{dx} \right)}_{({{x}_{1}},\,{{y}_{1}})}} \right]\].
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