Question

Let a, b, c be non-zero real numbers such that a+b+c = 0, let q = a²+b²+c² and r = a⁴+b⁴+c⁴. Then,

(a) q² < 2r always

(b) q² = 2r always

(c) q² > 2r always

(d) q² - 2r can take both positive and negative values

Answer 1

Answer is : (b) q² = 2r always