# If 2 m – 1/2 m = 2, where m does not equal to 0, then the value of m² + 1/16 m² is

(a) 5/2

(b) 2

(c) 3/2

(d) 4

**Answer: (c) 3/2**

**Solution:-**

2 m – 1/2 m = 2

Both side divide by 2,

m – 1/4 m = 1

Square on both side,

(m – 1/4 m)² = 1²

m² + (1/4 m)² – 2 m x 1/4 m = 1

m² + 1/ 16 m² – 1/2 = 1

m² + 1/ 16 m² = 1 + 1/2

m² + 1/ 16 m² = 3/2

Then, the value of m² + 1/ 16 m² is 3/2.

Hence, the correct answer is option (c) 3/2.