Published by:
CGP EDU Academic Team
Published on: August 12, 2026
and the quadratic equation 
has no real roots, then -
A
B
a 
a + b + c 
a + b + c C
b 
a + b + c) 
a + b + c)
D
Text Solution
Verified by ExpertsThe correct answer is:
B
ax 2 + bx + c = 0 has no real roots
so the sign of ax 2 + bx + c will be either positive or negative will depend on sign of a If a is positive then the expression is positive If a is negative then the expression is negative
so a(a + b + c) > 0 {put x = 1 in the expression}
when x = 0 then the expression has the same sign as
so c(a + b + c) > 0 {put x = 1 in the expression}
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