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The simplified value of :
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20 101 -
100 101 - 2
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90 101 - None of these
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Correct Option: D
Let, a = 1 + | |||||
10 + | |||||
10 |
= 1 + | |||||
10 |
= 1 + | |||||
10 |
= 1 + | |
101 |
= | = | ||
101 | 101 |
Again,
b = 1 − | |||||
10 + | |||||
10 |
= 1 − | |||||
10 |
= 1 − | |
101 |
= | = | ||
101 | 101 |
∴ Expression
= (a2 − b2) ÷ ab
= {(a + b) (a – b)} ÷ ab
= | + | − | ÷ | × | |||||||||||||||
101 | 101 | 101 | 101 | 101 | 101 |
= | × | × | |||
101 | 101 | 111 × 91 |