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happy singh

· started a discussion

· 1 Months ago

not getting second step. its not step by step, answers should be detailed and if there is a short cut it should be given also.

Question:

If a +  1b    = b +  1c    = c +  1a   = –1, the value of a3b3c3 is –

Options:
A)

–1

B)

1

C)

–2

D)

2

Solution:

Ans: (b)

  

Knowledge Expert

· commented

· 1 Months ago

Dear Student ,
AS given a + 1 / b = -1
Therefore ab + 1 = - b
From here we get ab = - ( b+1) ---------> 1)
Similarly bc + 1 = - c
when you divide this eq by c you get , b + 1/c = - 1
Therefore 1 / c = - (b+1)
put value of - (b+1) from eq 1

You get 1/c = ab
abc = 1
Therefore a^3 * b^3 * c^3 = (1)^3 = 1

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