If a, b, c are sides of a scalene triangle, then the value of |(a b c),(b c a),(c a b)| is always
(A) non-positive
(B) positive
(C) non-negative
(D) negative
Correct Answer is: (D) negative
= – (a + b + c)(a2 + b2 + c2 – ab – bc – ca)
= –(a + b + c)× 1/2 x
[(a – b)2 + (b – c)2 + (c – a)2 ]
= always negative as a, b, c are sides of the triangle.
