Question
If a – b – c = 0, then the value of
(a2 + b2 + c2)/(b + ac) is:Solution
Given, a – b – c = 0 Or, a – c = b By squaring both sides (a – c) = b Or, a + c – 2ac = b By squaring both sides (a – c) = b Or, a + b – 2ac = b Or, a + c = 2ac + b Adding ‘y’ on both sides, we get Or, a + c + b = 2b + 2ac Or, (a + c +b)/(b + ac) = 2
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