Mathematics · 2022
JEE Main · 27 July 2022, Shift 2 · Q5
If for p ≠ q ≠ 0, the function f(x)=(√[7](p (729+x))-3)/(√[3](729+ q x)-9) is continuous at x=0, then:
If for $\displaystyle \mathrm{p} \neq \mathrm{q} \neq 0$, the function $\displaystyle f(x)=\frac{\sqrt[7]{\mathrm{p}(729+x)}-3}{\sqrt[3]{729+\mathrm{q} x}-9}$ is continuous at $\displaystyle x=0$, then :
Official answer
(2)
$\displaystyle 63 \mathrm{q} f(0)-\mathrm{p}^2=0$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.