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Most Important Selected Qs for JEE AdvancedMathematicsApplication of Derivatives

The perpendicular from the origin to the tangent at any point on a curve is equal to the abscissa of the point of contact. Also curve passes through the point (1,1) . Then the length of intercept of the curve on the x -axis is

Correct answer

2

Step-by-step solution

Equation of tangent is y- =f^ ( ) x- Also, = - f^ ( ) f^ ( )^2+1 Thus, d y d x = 1 2 ( y^2-x^2 x y ) Thus, equation of curve is x^2+y^2-2 x=0

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