Question

If x, a, b, c are real and (x – a + b)² + (x – b + c)² = 0, then

a, b, c are in –

• A. H.P.
• B. G.P.
• C. A.P.
• D. None of these

Answer 1

Answer: (C)

A.P.

Answer 2

(x – a + b)² + (x – b + c)² = 0;

(x – a + b)² = 0 = (x – b + c)²; x = (a – b); x = (b –c)

(a –b) = (b –c) ; b = $\frac{a + c}{2}$ So; a, b, c are in A.P.