1.

If `x + (1)/(x) = a` and ` x - (1)/(x) = b` , then `a^(2) - b^(2) = "_______"` .A. 4B. 3C. 2D. 1

Answer» Correct Answer - A
Given , `x + (1)/(x) = a` and `x - (1)/(x) = b` .
Now , `a^(2) - b^(2) = (a+ b) (a-b)`
`(x + (1)/(x) + x - (1)/(x) ) (x + (1)/(x) - x + (1)/(x))`
`= (2x) ((2)/(x)) = 4`
Hence , the correct option is (a) .


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