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Let f(x) = x 2 + ax + b, where a, b R. If f(x) = 0 has all its roots imaginary, then the roots of f(x) + f' (x) + f" (x) = 0 are (a) Real and distinct (b) Imaginary (c) Equal (d) Rational and equal

Let  f(x)  =  x
2
+  ax  +  b,  where  a,  b    R.  If  f(x)  =  0  has  all  its 
roots imaginary, then the roots of f(x) + f' (x) + f" (x) = 0 are 
(a)  Real and distinct 
(b)  Imaginary 
(c)  Equal 
(d)  Rational and equal 

Grade:12th pass

1 Answers

Phani
51 Points
7 years ago
(b) imaginary
for f(x)=0
as roots r imaginary a2
f(x)+f1(x)+f11(x)=0
here discrimiant will be negative (a2-4b-2a-4)

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