For the ellipse $49x^2+36y^2=1764$, what are $a$, $b$, the direction of the major axis (horizontal or vertical), and the foci coordinates?

$a=7$, $b=6$

major axis vertical

foci at ($0$, $\pm \sqrt{13}$)

$a=7$, $b=6$

major axis horizontal

foci at ($\pm \sqrt{13}$, $0$)

$a=6$, $b=7$

major axis horizontal

foci at ($\pm \sqrt{13}$, $0$)

$a=36$, $b=49$

major axis vertical

foci at ($0$, $\pm 13$)