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

lim_(x rarr1)sec^(-1)((lambda^(2))/(ln x)-(lambda^(2))/(x-1)) exists then lambda belong to

The number of distinct real values of lambda for which the lines (x-1)/(1)=(y-2)/(2)=(z+3)/(lambda^(2)) and (x-3)/(1)=(y-2)/(lambda^(2))=(z-1)/(2) are coplanar is

The number of integral values of lambda for which exactly one root of the equation 5x^(2)+(lambda+1)x+lambda=0 lies in the interval (1,3) is

The least integral value of lambda for which the expression (lambdax^(2)-4x+3lambda+1) is positive for all x in R,is

Number of integral values of lambda such that the equation cos^(-1)x+cot^(-1)x=lambda possesses solution is :

Find values of lambda for which line y=x+1,y=lambda x+2 and y=(lambda^(2)+lambda-1)x+3 are con-current.

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 ____

Find the number of integral values of lambda, for which equation 4cos x+3sin x=2 lambda+1 has a solution.

Number of real values of lambda for which the matrix A=[[2,-1,32,-1,3lambda+3,lambda-2,lambda+7]] has no inverse (A) 0(B)1(C)2(D) infinite ]]