MCQ
ગણ $\{ (a,\,b):2{a^2} + 3{b^2} = 35,\;a,\,b \in Z\} $ એ . . . ઘટકો ધરાવે છે.
- A$2$
- B$4$
- ✓$8$
- D$12$
We can see that, $2{( \pm 2)^2} + 3{( \pm 3)^2} = 35$ and $2{( \pm 4)^2} + 3{( \pm 1)^2} = 35$
$ \therefore (2, 3), (2, -3), (-2, -3), (-2, 3), (4, 1), (4, -1),$
$(-4, -1), (-4, 1)$ are $8$ elements of the set.
$\therefore n = 8$.
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