Number of integral values of m for which `x^2-2mx+6m-41 <0, AA x in (1,6]`, is

Number of integral values of lambda for which X^(2)-2lambdaxlt41-6lambdaAA x in (1,6] ,is

Number of integral values of lambda for which X^(2)-2lambdaxlt41-6lambdaAA x in (1,6] ,is

Number of integral values of lambda for which X^(2)-2lambdaxlt41-6lambdaAA x in (1,6] ,is

Number of integral values of m for which lines x+y+1=0,mx-m^(2)y+3=0 and 2mx-(2m-1)y+(3m+2)=0 are concurrent

The number of integer values of m for which f(x)=x^(3)-mx^(2)+3x-11 invertible is ....

Number of integral value(s) of m for which the equation sin x-sqrt(3)cos x=(4m-6)/(4-m) has solutions,x in[0,2 pi], is

Number of integral value(s) of m for which the equation sinx-sqrt(3)cosx=(4m-6)/(4-m) has solutions, x in [0,2pi] , is ________

Number of integral value(s) of m for which the equation sinx-sqrt(3)cosx=(4m-6)/(4-m) has solutions, x in [0,2pi] , is ________

The number of integral values of m, for which the root of x^(2)-2mx+m^(2)-1=0 will lie between -2 and 4