Question : If $x^{2}+y^{2}+z^{2}=xy+yz+zx$, then the value of $\frac{3x^{4}+7y^{4}+5z^{4}}{5x^{2}y^{2}+7y^{2}z^{2}+3z^{2}x^{2}}$ is:

Option 1: 2

Option 2: 1

Option 3: 0

Option 4: –1

Question : If x + y = √3 and x – y = √2, the value of 8xy(x² + y²) is:

Option 1: 6

Option 2: √6

Option 3: 5

Option 4: √5

Question : What is the solution of the following equations?
2x + 3y = 12 and 3x – 2y = 5

Option 1: x = 3, y = 2

Option 2: x = 2, y = 3

Option 3: x = –2, y = 3

Option 4: x = 3, y = –2

Question : If 3x + 4y – 2z + 9 = 17, 7x + 2y + 11z + 8 = 23, and 5x + 9y + 6z – 4 = 18, then what is the value of x + y + z – 34?

Option 1: –28

Option 2: –14

Option 3: –31

Option 4: –45

Question : If $4x–7y=3$ and $2x–y=9$, then the value of $(x–y)$ is:

Option 1: 3

Option 2: 4

Option 3: 5

Option 4: 6