Samyak Jain
Last Activity: 6 Years ago
a,b,c ∈ R and ax^2 + bx + c =0 has no real roots.
discriminant or D > 0 So for any x 
R, f(x) = ax^2 + bx + c is always greater than zero. Put x = 0 in f(x)
f(0) = a*0 + b*0 + c = c
f(1) = a + b + c
f(0) > 0 , f(1) > 0 i.e. c > 0 , (a + b + c) > 0 Hence, c*(a + b + c) > 0
Option A is correct.
