JEE Main & Advanced Mathematics Applications of Derivatives Length of Perpendicular from Origin to the Tangent

Length of Perpendicular from Origin to the Tangent

Category : JEE Main & Advanced

 

Length of perpendicular from origin \[(0,\,0)\] to the tangent drawn at point \[P({{x}_{1}},\,{{y}_{1}})\] of the curve \[y=f(x)\] \[p=\left| \,\frac{{{y}_{1}}-{{x}_{1}}{{\left( \frac{dy}{dx} \right)}_{({{x}_{1}},\,{{y}_{1}})}}}{\sqrt{1+{{\left( \frac{dy}{dx} \right)}^{2}}}}\, \right|\] .

 

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