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Q.

Let f(x)=a x2+b x4+c . Then for f to be an even function

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a

a, b, c can be any real numbers

b

a, b∈R and c∈R+

c

a, b∈R+ and c∈R

d

a, b, c∈R+

answer is A.

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Detailed Solution

f(−x)=f(x) ax2+bx4+c=ax2+bx4+c It is true ∀ a, b, c∈R
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Let f(x)=a x2+b x4+c . Then for f to be an even function