Advanced JEE Level MCQs

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Try the first 5 questions

1.
Sum to infinity of tan^(-1)(2/(n^2)) for n=1,2,3,... equals:
2.
If cos^(-1)(p)+cos^(-1)(q)+cos^(-1)(r)=pi, then p^2+q^2+r^2+2pqr equals:
3.
The equation sin^(-1)(6x)+sin^(-1)(6sqrt(3)x)=-pi/2 has:
4.
cot(sum from n=1 to 23 of cot^(-1)(1+n(n+1))) equals:
5.
sin^(-1)(x)+sin^(-1)(2x) = pi/3 has how many solutions?

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