Let S be the set of all the natural...| Application of Derivatives

JEE MAIN 2022

26-06-2022_S1

Question

Let $S$ be the set of all the natural numbers, for which the line $\frac{x}{a}+\frac{y}{b}=2$ is a tangent to the curve $\left(\frac{x}{a}\right)^n+\left(\frac{y}{b}\right)^n=2$ at the point $(a, b), a b \neq 0$. Then :

Select the correct option:

$\mathrm{S}=\phi$

$n(S)=1$

$S=\{2 k ; k \in N\}$

$S=N$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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