If xy⁴ attains maximum value at the point (x, y) on the line passing through the points (50 + α, 0) and (0, 50 + α), α > 0, then (x, y) also lies on the line:

Limit, Continuity and Differentiability: JEE Main 2022 Mathematics question

JEE Main 2022 · 30 Jun, Morning shift · Q2666

JEE Main 202230 Jun, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

If xy⁴ attains maximum value at the point (x, y) on the line passing through the points (50 +

\alpha

, 0) and (0, 50 +

\alpha

\alpha

> 0, then (x, y) also lies on the line :

JEE Main 2022 · 30 Jun, Morning shift · Q2666

JEE Main 202230 Jun, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

If xy⁴ attains maximum value at the point (x, y) on the line passing through the points (50 +

\alpha

, 0) and (0, 50 +

\alpha

\alpha

> 0, then (x, y) also lies on the line :