The slope of normal at any point (x, y), x > 0, y > 0 on the curve y = y(x) is given by …. If the curve passes through the point (1, 1), then e . y(e) is equal to

Application of Derivatives

JEE Main 2022 · 24 Jun, Evening shift · Q2787

MathematicsMedium175×since 2002Q2787

The slope of normal at any point (x, y), x > 0, y > 0 on the curve y = y(x) is given by

{{{x^2}} \over {xy - {x^2}{y^2} - 1}}

. If the curve passes through the point (1, 1), then e . y(e) is equal to

JEE Main 2022 · 24 Jun, Evening shift · Q2787

MathematicsMedium175×since 2002Q2787

The slope of normal at any point (x, y), x > 0, y > 0 on the curve y = y(x) is given by

{{{x^2}} \over {xy - {x^2}{y^2} - 1}}

. If the curve passes through the point (1, 1), then e . y(e) is equal to