# JEE Main & Advanced Mathematics Applications of Derivatives Length of Intercept Made on Axes by The Tangent

## 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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