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· started a discussion

· 1 Months ago

on substituting a=b=-1 and c=1 we get 3

Question:

If a, b, c are positive integer, then minimum value of  a2+ a +1b2+ b +1c2+ c +1abc    

Options:
A)

3

B)

9

C)

27

D)

1

Solution:

Ans:(c) a, b, c are positive integer (given).

To find the minimum value of  a2+ a +1b2+ b +1c2+ c +1abc   

Let, a = b = c = 1.

We cannot take a = 0, or b = 0 or c = 0 as denominator cannot be 0, it will give infinity as solution. 

So, taking a = b = c = 1.

We get,  1+1+11+1+11+1+11×1×1     3 × 3 × 3 = 27

Knowledge Expert

· commented

· 1 Months ago

Dear student
Given answer is correct
In the Question, It is specified that a,b,c are positive integers.

Best wishes
Team TR

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