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Question

State whether true or false:
If a−1a = 4 , then a2+1a2 = 16


A

True

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B

False

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Solution

The correct option is B

False


Given that
a1a = 4
squaring on both sides
(a1a)2= 16
a2+1a22 = 16
a2+1a2 = 18

Hence the given statement is false


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