Question : If $a-b=11$ and $ab=24$, then the value of $(a^2+b^2)$ is:

Option 1: 169

Option 2: 37

Option 3: 73

Option 4: 48

Question : If a + b + c = 1, ab + bc + ca = –1, and abc = –1, then what is the value of a³ + b³ + c³?

Option 1: 1

Option 2: 5

Option 3: 3

Option 4: 2

Question : If a + b = 6 and ab = 4, then what is the value of a³ + b³?

Option 1: 125

Option 2: 120

Option 3: 144

Option 4: 81

Question : If a : b : c = 2 : 3 : 5 and 5b – a + 2c = 115, then what is the value of b?

Option 1: 15

Option 2: 12

Option 3: 6

Option 4: 24

Question : If $a =\cot A+\cos A$ and $b =\cot A-\cos A$, then find the value of $a^2-b^2-4 \sqrt{ab}$.

Option 1: 0

Option 2: –1

Option 3: 1

Option 4: –4