[" If "[x]" denotes the integral part of "x" and "k=sin^(-1)(1+t^(2))/(2t)>0" ,"],[" then the integral value of "alpha" for which the cquation "(x-[k])],[(x+alpha)-1=0" has integral root is "]

If [x] denotes the integral part of x and k=sin^-1 ((1+t^2)/(2t))gt0 then integral valueof alpha for which the equation (x-[k])(x+alpha)-1=0 has integral roots is (A) 1 (B) 2 (C) 4 (D) none of these

If [x] denotes the integral part of x and k=sin^-1 ((1+t^2)/(2t))gt0 then integral valueof alpha for which the equation (x-[k])(x+alpha)-1=0 has integral roots is (A) 1 (B) 2 (C) 4 (D) none of these

Number of integral values of a for which the equation x^2-(a+1)x+a-1=0 , has integral roots, is equal to -

If [x] denotes the integral part of x , find int_0^x[t+1]^3dt .

If [x] denotes the integral part of x , find int_0^x[t+1]^3dt .

Number of integral values of a for which the equation x^(2)-(a+1)x+a-1=0, has integral roots,is equal to -

Find all the integral values of a for which the quadratic equation (x - a) (x - 10) + 1 = 0 has integral roots.

The sum of all integral values of 'a' for which the equation 2x ^(2) -(1+2a) x+1 +a=0 has a integral root.

The sum of all integral values of 'a' for which the equation 2x ^(2) -(1+2a) x+1 +a=0 has a integral root.