If a + 1/b = 1 and b + 1/c = 1, then the value of c + 1/a is
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 1
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Understanding |
Application |
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Given: a + 1/b = 1 And b + 1/c = 1 |
a + 1/b = 1 ⇒ a = (1 – 1/b) ⇒ a = (b – 1)/b 1/a = b/(b – 1) or –b/(1 – b) And b + 1/c = 1 ⇒ 1/c = 1 – b ⇒ c = 1/(1 – b) |
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Now, c + 1/a ⇒ 1/(1 – b) – b/(1 – b) ⇒ (1 – b)/(1 – b) ⇒ 1 |