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

The number of integral values of lambda for which x^2+y^2+(1+lambda)x+(1-lambda)y+3=0 is the equation of circle whose radius cannot exceed '1' is ____

The number of integral values of lambda for which the equation x^(2)+y^(2)-2lambdax+2lambday+14=0 represents a circle whose radius cannot exceed 6, is

The number of integral values of lambda for which the equation x^(2)+y^(2)-2lambdax+2lambday+14=0 represents a circle whose radius cannot exceed 6, is

Number of integral values of lambda for which limsec ^(-1)((lambda^(2))/(log_(ex))-(lambda^(2))/(x-1)) does not exist is a.1 b.2 c.3 d.4

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 (lim)_(x to 1)sec^(-1)((lambda^2)/((log)_e x)-(lambda^2)/(x-1)) does not exist is a. 1 b. 2 c. 3 d. 4

Number of integral values of lambda for which (lim)_(xvec1)sec^(-1)((lambda^2)/((log)_e x)-(lambda^2)/(x-1)) does not exist is a. 1 b. 2 c. 3 d. 4