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Differential Equations question

2022 · 27 Jun · Shift 2 · Q28

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JEE Main
Mathematics
Differential Equations
2022 · 27 Jun · Shift 2 · Q28

Differential Equations question

2022 · 27 Jun · Shift 2 · Q28

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

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

A
2e
B
${2 \over e}$
C
2
D
${1 \over e}$

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