Answer
A $\rightarrow$ $a^{2}$ = 36 , $b^{2}$ = 13
B $\rightarrow$ $a^{2}$ = 4 , $b^{2}$ = 4
C $\rightarrow$ $a^{2}$ = 25 , $b^{2}$ = 16
D $\rightarrow$ $a^{2}$ = 25 , $b^{2}$ = 39
E $\rightarrow$ $a^{2}$ = 17 , $b^{2}$ = 18
F $\rightarrow$ $a^{2}$ = 36 , $b^{2}$ = 36
G $\rightarrow$ $a^{2}$ = 16 , $b^{2}$ = 65
H $\rightarrow$ $a^{2}$ = 144 , $b^{2}$ = 140
Work Step by Step
Standerd form of a:
Ellipse:
$\frac{x^{2}}{a^{2}}$ + $\frac{y^{2}}{b^{2}}$ = 1
Hyperbola:
$\frac{x^{2}}{a^{2}}$ - $\frac{y^{2}}{b^{2}}$ = 1
Simplifying, to know the values of $a^{2}$ and $b^{2}$,
$\rightarrow$ value/number under $x^{2}$ is $a^{2}$
$\rightarrow$ value/number under $y^{2}$ is $b^{2}$
