1/2x + 1/2y= 1 এবং 1/x2- 1/y2=12 হলে 1/x-1/y = কত ?
Solution
Correct Answer: Option C
দেওয়া আছে,
1/2x + 1/2y = 1
Or, 1/2 ( 1/x + 1/y) = 1
Or, 1/x + 1/y = 2
এবং,
1/x2 - 1/y2 = 12
Or, (1/x + 1/y)(1/x - 1/y) = 12
Or, 2 ( 1/x - 1/y) = 12
Or, 1/x - 1/y = 12/2
∴ 1/x - 1/y = 6
1/2x + 1/2y = 1
Or, 1/2 ( 1/x + 1/y) = 1
Or, 1/x + 1/y = 2
এবং,
1/x2 - 1/y2 = 12
Or, (1/x + 1/y)(1/x - 1/y) = 12
Or, 2 ( 1/x - 1/y) = 12
Or, 1/x - 1/y = 12/2
∴ 1/x - 1/y = 6
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