NDA 2026 — Mathematics PYQ

If $\alpha ,\beta ,\gamma$ are cube roots of $-8$, then what is $\frac{{\alpha }^2{p}^2+{\beta }^2{q}^2+{\gamma }^2{r}^2}{{\beta }^2{p}^2+{\gamma }^2{q}^2+{\alpha }^2{r}^2}$ equal to?

यदि α, β, γ, -8 के घनमूल हैं, तो $\frac{{\alpha }^2{p}^2+{\beta }^2{q}^2+{\gamma }^2{r}^2}{{\beta }^2{p}^2+{\gamma }^2{q}^2+{\alpha }^2{r}^2}$ किसके बराबर है ?