JEE Math Practice Question
If for $$\mathrm{p} \neq \mathrm{q} \neq 0$$, the function $$f(x)=\frac{\sqrt[7]{\mathrm{p}(729+x)}-3}{\sqrt[3]{729+\mathrm{q} x}-9}$$ is continuous at $$x=0$$, then :
- A.$$7 p q \,f(0)-1=0$$
- B.$$63 q \,f(0)-\mathrm{p}^{2}=0$$
- C.$$21 q \,f(0)-\mathrm{p}^{2}=0$$
- D.$$7 p q \,f(0)-9=0$$
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