If f(x)=\frac{\\alphax+1}{x-\\beta} \\forall x \\in R-\{\\beta\} \& \\alpha\\beta\\neq1 \& \\alpha\\neq1 is a self - inverse function such that\frac{f(4)}{4}=\frac{f(12)}{12}=f(\frac{1+\\beta}{1-\\alpha}), then " \\beta" is equal to

JEE Advanced 2021 Full Test 3 Paper 2

SECTION – C (Numerical Answer Type)
This section contains 06 questions. The answer to each question is a NUMERICAL VALUE. For each question, enter the correct numerical value (in decimal notation, truncated/rounded-off to the SECOND DECIMAL PLACE; e.g. XXXXX. XX).

Question : 54 of 54

Marks: +1, -0

If f(x)=

αx+1

x−β

‌∀x∈R−{β} & αβ≠1 & α≠1 is a self − inverse function such that

f(4)

f(12)

=f(

1+β

1−α

), then "β" is equal to

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