1+: - 1- ) Each (b) if tan 1- 11 +: + 11- = a, then prove that: x2

A=[[1,11,1]] then prove that A^(100)=2^(99)A

If (10^(2n-1)+1) is divisible by 11, then prove that (10^(2n+1)+1) is also divisible by 11.

Prove that : cos^(-1).(4)/(5)+ tan ^(-1).(3)/(5) = tan^(-1) .(27)/(11) (ii) Prove that : sin^(-1).(3)/(5)+ tan ^(-1).(3)/(5) = tan^(-1) .(27)/(11)

tan A=(5)/(6) andtanB =(1)/(11), prove that A+B=(pi)/(4)

If A=[(1,-1),(-1,1)] and B=[(1,1),(1,1)], prove that AB is null matrix.

tan ^(-1) (1/11)+tan ^(-1)(2/12)=

If the tangent to the curve xy+ax+by=0 at (1,1) is inclined at an angle tan ^(-1)2 with x . axis,then find a and b?

If (111.1)^x=(11.11)^y=(1.111)^z then prove that (1)/(x)-(2)/(y)+(1)/(z)=0 .

IF tan ^(-1) 2x + tan ^(-1) 3x =(pi)/(4) , then x= ? a) -1 b) 1/6 c) -1,1/6 d) 2/3