The number of solutions of the matrix equation `X^2=[[1, 1],[ 2, 3]]` is (A) more than 2 (B) `2` (C) `0` (D) `1`

The number of solutions of the equation cot(sin x+3)=1, in [0,3 pi] is 0(b)1(c)4 (d) 2

The number solution of the equation sgn(x^(2))=|x-2| is 1 (b) 0(c)2(d)3

The number of solutions of the equation |cosx-sinx|=2cosx in [0,2pi] is (A) 1 (B) 2 (C) 3 (D) 4

The number of real solutions of the equation -x^2+x-1=sin^4x is (A) 1 (B) 2 (C) 0 (D) 4

If x epsilon R, then the number of real solutions of the equation 3^x+3^-x=log_10 99 is (A) 0 (B) 1 (C) 2 (D) more than 2

The number of solutions of the system of equations: 2x+y-z=7,\ \ x-3y+2z=1,\ \ x+4y-3z=5 is (a) 3 (b) 2 (c) 1 (d) 0

The number of solution of the equation 2sin^(-1)((2x)/(1+x^(2)))-pi x^(3)=0 is equal to

The number of solutions of te equation |2x^2-5x+3|+x-1=0 is (A) 1 (B) 2 (C) 0 (D) infinite

The number of real solutions of the equation e^(x)+(a^(2)+4a+5)x^(2)+6=0 is (A) 1 (B) 2 (C) 3 (D) 0

The number of solutions of the equation (secx)/(1-cosx)=1/(1-cosx) in [0,\ 2pi] is equal to 3 (b) 2 (c) 1 (d) 0