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CGP EDU Academic Team
Published on: August 13, 2026
If a, b, c are non-zero numbers such that
3(a 2 + b 2 + c 2 + 1) = 2 (a + b + c + ab + bc + ca), then a, b, c are.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, b, c, d)
3(a 2 + b 2 + c 2 + 1) – 2(a + b + c + ab + bc + ca) = 0
[(a – b) 2 + (b – c) 2 + (c – a) 2 + (a – 1) 2 + (b – 1) 2
+ (c – 1) 2 ] = 0
a – b = b – c = c – a = 0
a – 1 = b –1 = c – 1 = 0
a = b = c = 1
a, b, c are in A.P. and G.P. both also they are in H.P.
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