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question mark

The graph of the fns y=f(x) is symmetrical about the line x=2 then


a f(x+2)=f(x-2)

b f(2+x)=f(2-x)

c f(x)=f(-x)

d f(x)=-[f(-x)]

Himanshu Mohan , 12 Years ago
Grade 12
anser 3 Answers
Sunil Kumar

Answer : (b) f(2+x)=f(2-x)

 check for thr conditions of symmetry.

 

Thanks & Regards
Sunil Kumar, 
askIITians Faculty
M.Sc., IIT Kharagpur

Last Activity: 12 Years ago
Himanshu Mohan
can u give me solution plz
Last Activity: 12 Years ago
ayush kumar
since function is symmetric about x=2; value of function will be identical on both side of 2 or we can say x=2 is a mirror . so whatever distance you move from x=2 in right means you are moving same distance in left. i.e. if you are moving x in the right you are also moving x in the left and therefore these two will have same value. i.e. f(2+x)=f(2-x)
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Last Activity: 12 Years ago
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