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JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Application +4 | -1
Suppose a,b,ca, b, c are the lengths of three sides of a △ABC,a>b>c,2b=a+c\triangle A B C, a > b > c, 2 b=a+c and bb is a positive integer. If a2+b2+c2=84a^2+b^2+c^2=84, then value of bb is
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Correct option: C
5
Option C (5) is correct because using the given conditions 2b=a+c2b = a+c and a2+b2+c2=84a^2 + b^2 + c^2 = 84, and the triangle inequality, we can deduce that b = 5.

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