Let S be the set of all the natural numbers, for which the line x/a + y/b = 2 is a tangent to the curve (x/a)ⁿ + (y/b)ⁿ = 2 at the point (a, b), ab ≠ 0. Then:

Limit, Continuity and Differentiability: JEE Main 2022 Mathematics question

JEE Main 2022 · 26 Jun, Morning shift · Q2785

JEE Main 202226 Jun, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let S be the set of all the natural numbers, for which the line

{x \over a} + {y \over b} = 2

is a tangent to the curve

{\left( {{x \over a}} \right)^n} + {\left( {{y \over b}} \right)^n} = 2

at the point (a, b), ab

\ne

0. Then :