The set of homogeneous simultaneous equations

4x + 2y = 0 and

6x + 3y = 0 has :

** Option:**

**A.**x = 0, y = 0 as solutions

**B.**x = 0, y = 0 and x = 1, y = -2 as solutions

**C.**x = 0, y = 0 ; x = -1, y = 2 and x = 1, y = -2 as solutions

**D.**an infinite number of solutions.

**Answer: D . an infinite number of solutions.**

** Justification:**

The gieven equations are 2x + y = 0 and 2x + y = 0

Thus, there is one equation in two variables.

So, the given equation infinite number of solutions.