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Q.

If f, g, h, ϕ are functions from R→R                          List  - I

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a

I-b; II-a; III-c; IV-d

b

I-a; II-b; III-d; IV-c

c

I-a; II-b; III-c; IV-d

d

I-b; II-a; III-d; IV-c

answer is D.

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Detailed Solution

f−x=−f(x)⇒f(x) is oddg−x=g(x)⇒g(x) is evenhx=sin3x+cos2x+sin2xh−x=−sin3x+cos2x+sin2x∴h(x) is neither even nor oddϕ(x)=0 is both even and odd
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