Find the value of k if x-1 is the factor of `kx^(2)-3x+k`

Find the value of k if x-1 is the factor of P(x) =kx^(2)-sqrt(2)x+1

Find the value of k if x-1 is the factor of P(x)=2x^(2)+kx+sqrt(2)

Find the value of k, if (x-1) is a factor of p(x) in each of the following cases: (i) p(x) = x^2+x+k (ii) p(x)=2x^2+kx+sqrt2 (iii) p(x) =kx^2-sqrt2x+1 (iv) p(x) = kx^2-3x+k

Find the value of k so that the equation 49x^(2) - kx -81 =0 has one root as the negative of the other.

Find the value of k, if x=2,y=1 is a solution of the equation 2x+3y=k .

Find the value of k so that the function: f(x) = [{:(kx + 1, if x le 5),(3x-5, if x gt 5):}] at x=5 is a continous function:

Find the value of k, if the pair of linear equations 2x-3y=8 and 2(k-4)x-ky = k+3

Find the value of k, if the pair of linear equations 2x-3y=8" and "2(k-4)x-ky=k+3 are inconsistent.

(b) Find the value of K so that the function f(x)=[(Kx+1),(3x-5),if xle5,ifxgt5] atx=5 is a continuous function.

The number of values of 'k' for which the equation x^(2) - 3x + k = 0 has two distinct roots lying in the interval (0,1) is :