The eqution `sin x+x cos = 0` has at least one root in (A) `(-pi/2,0)` (B)`(0, pi)` (C) `(pi,(3pi)/2)` (D) `(0, pi/2)`

If |veca+vecb|lt|vecavecb| then the angle between veca and vecb lies in the interval (A) (-pi/2, pi/2) (B) (0,pi0) (C) (pi/2,(3pi)/2) (D) (0,2pi)

f(x) = cos x is strictly increasing in the interval : (a) ((pi)/(2),pi) (b) (pi,(3 pi)/(2)) (c) (0,(pi)/(2))

The function f(x) = x- cosx , is increasing in....... A) ( pi /2, pi ) B) (0, pi ) C) (0, pi /2) D) All of these

One of the root equation cosx-x+1/2=0 lies in the interval (a) (0,pi/2) (b) (-pi/(2,0)) (c) (pi/2,pi) (d) (pi,(3pi)/2)

One of the root equation cosx-x+1/2=0 lies in the interval (0,pi/2) (b) (-pi/(2,0)) (c) (pi/2,pi) (d) (pi,(3pi)/2)

The smallest positive root of the equation tanx-x=0 lies in (a) (0,pi/2) (b) (pi/2,pi) (pi,(3pi)/2) (d) ((3pi)/2,2pi)

If a , b in [0,2pi] and the equation x^2+4+3sin(a x+b)-2x=0 has at least one solution, then the value of (a+b) can be (a) (7pi)/2 (b) (5pi)/2 (c) (9pi)/2 (d) none of these

If a , b in [0,2pi] and the equation x^2+4+3sin(a x+b)-2x=0 has at least one solution, then the value of (a+b) can be (a) (7pi)/2 (b) (5pi)/2 (c) (9pi)/2 (d) none of these

If a , b in [0,2pi] and the equation x^2+4+3sin(a x+b)-2x=0 has at least one solution, then the value of (a+b) can be (a) (7pi)/2 (b) (5pi)/2 (c) (9pi)/2 (d) none of these

If a,b in[0,2 pi] and the equation x^(2)+4+3sin(ax+b)-2x=0 has at least one solution,then the value of (a+b) can be (a) (7 pi)/(2) (b) (5 pi)/(2) (c) (9 pi)/(2) (d) none of these