Consider the following two sets of equations :

I. 2x - y = 0 and 6x - 3y = 0

II. 3x - 4y = 0 and 12x - 20y = 0

** Option:**

**A.**both sets I and II possess unique solutions.

**B.**Set I possesses unique solution and set II has infinitely many solutions.

**C.**Set II possesses unique solution and set I possesses infinitely many solutions.

**D.**None of the sets I and II possesses a unique solution.

**Answer: C . Set II possesses unique solution and set I possesses infinitely many solutions.**

** Justification:**

Eqns. in I are 2x - y = 0 & 2x - y = 0

Thus, there is one equation in two variables.

.'. Given equations have an infinite number of solutions.

Eqns. in II are 3x - 4y = 0 & 3x - 5y = 0

Solving these equations, we get x = 0 & y = 0

So, (c) is true.