Question
Question: If x, a, b, c are real and (x – a + b)<sup>2</sup> + (x – b +c)<sup>2</sup> = 0, then a, b, c are in...
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
A. P.
Explanation
Solution
Only possible when
x – a + b = 0, x – b + c = 0
Ž x = a – b, x = b – c
\ a – b = b – c Ž 2b = a + c
Ž a,b,c are in A.P.