If the solution curve of the differential equation ((tan ⁻¹y) - x)dy = (1 + y²)dx passes through the point (1, 0), then the abscissa of the point on the curve whose ordinate is tan(1), is

Differential Equations: JEE Main 2022 Mathematics question

JEE Main 2022 · 27 Jun, Evening shift · Q3541

JEE Main 202227 Jun, Evening shiftMathematicsMediumDifferential Equations163× since 2002

If the solution curve of the differential equation

(({\tan ^{ - 1}}y) - x)dy = (1 + {y^2})dx

passes through the point (1, 0), then the abscissa of the point on the curve whose ordinate is tan(1), is

JEE Main 2022 · 27 Jun, Evening shift · Q3541

JEE Main 202227 Jun, Evening shiftMathematicsMediumDifferential Equations163× since 2002

If the solution curve of the differential equation

(({\tan ^{ - 1}}y) - x)dy = (1 + {y^2})dx

passes through the point (1, 0), then the abscissa of the point on the curve whose ordinate is tan(1), is