Questions
The number of values of
a
2
b
3
c
0
d
Infinite
detailed solution
Correct option is C
f(x)=x3+3x+a, x∈[0,1] Let f(x)=0 has two distinct roots α,β in (0,1) 0<α<β<1 . Then by Rolle’s theorem f(x)=3x2−3=0 at least one in (α,β) . But f'(x)=0 has two roots –1 and 1.Hence x3−3x+a=0 cannot have two distinct roots in (0,1) for any a∈R .Talk to our academic expert!
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