Question

If x, y are rational numbers such that (x + y) + (x – 2y) $\sqrt{2}$ = 2x – y + (x – y – 1) $\sqrt{6}$ then –

• A. x = 1, y = 1
• B. x = 2, y = 1
• C. x = 5, y = 1
• D. x & y can take infinitely many values

Answer 1

Answer: (B)

x = 2, y = 1

Answer 2

x + y = 2x – y … (i)

x –2y = 0 …….(ii)

x – y –1 = 0 … (iii)

x = 2y 2y – y – 1 = 0

Put in eq. (iii) y = 1

x = 2