The number of solutions common to equations (1) and (2) is (A) 0 (B) 1 (C) finite (D) infinite

Let f(x)= max{tanx, cotx} . Then number of roots of the equation f(x)= 1/sqrt(3) in (0,2pi) is (A) 2 (B) 4 (C) 0 (D) infinite

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 -x^2+x-1=sin^4x is (A) 1 (B) 2 (C) 0 (D) 4

The number of real solutions of the equation (6-x)^4+(8-x)^4=16 is (A) 1 (B) 2 (C) 4 (D) 0

The number of solution of equation |x-1|=e^x is (A) 0 (B) 1 (C) 2 (D) none of these

The number of solution of the equation |x-x^(2)-1| = |2x -3-x^(2)| is (1) 0 (2) 1 (3) (4) Infinitely many

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 solutions of equation tan^(-1)2x+tan^(-1)3x=pi/4 is (a) 2 (b) 3 (c) 1 (d) none of these

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

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