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If `f(2x+y/8,2x-y/8)=x y`, then `f(m , n)=0`only when `m=n`only when `m!=n``on l yw h e nm=-n`(d) `fora l lma n dn`A. only when `m = n`B. only when `m ne n`C. only when `m = -n`D. for all m and n |
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Answer» Correct Answer - D Let `2x+(y)/(8)=alpha" and " 2x-(y)/(8)=beta.` Then ` x=(alpha+beta)/(4) and y=4(alpha-beta).` Given `f(2x+(y)/(8), 2x-(y)/(8))=xy` ` :. f(alpha, beta)=alpha^(2)-beta^(2)` `or f(m,n)+f(n,m)=m^(2)-n^(2)+n^(2)-m^(2)=0` for all m,n |
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