
Grade 11IIT JEE Entrance Exam
if sin^-1 (2a/1+a^2)=cos^-1 (1-b^2/1+b^2)=tan^-1 (2x/1-x^2), then prove that x=a-b/1+ab
if sin^-1 (2a/1+a^2)=cos^-1 (1-b^2/1+b^2)=tan^-1 (2x/1-x^2), then prove that x=a-b/1+ab

Let S={x:x belongs to R(√3+√2)^(x^2-4) - (√3-√2)^(x^2-4)=10}. Then n(S) is equal to-
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