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

Anurag Mishra Professor Asked on 23rd February 2016 in Maths.
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1 Answer(s)

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.

Anurag Mishra Professor Answered on 25th February 2016.
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