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  1. If a +
    1
    = 1, then the value of a3 is :
    a
    1. – 2
    2. 2
    3. – 1
    4. 4
Correct Option: C

from the given question,

a +
1
= 1
a

a2 + 1 = a
a2 + 1 - a = 0
Multiplying both side by (a + 1) and we will get,
(a + 1) (a2 – a + 1) = 0 x ( a + 1 )
a x (a2 – a + 1) + 1 x (a2 – a + 1) = 0 x ( a + 1 )
a3 - a2 + a + a2 - a + 1 = 0
a3 + 1 = 0
a3 = –1



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