Find the value of `4k+1` if `k=1;k=2,k=-1 and k=(1)/(2)`

Find the value of k if 3^(k+8) = 27^(2k+1)

Find the value of k if the points (k+1,1),(2k+1,3) and (2k+2,2k) are collinear.

Find the value of k for real and equal roots *(k+1)x^(2)-2(k-1)x+1=0

Find the value of k, if (2,1), (4,3) and (0,k) are collinear.

If A = {:[(1,2),(4,2)} , then find the value of 'k' if |2A| = k|A|.

Find the value of k if the points A(k,2-2k) , B(-k + 1, 2k) and C(-4-k, 6-2k) are collinear

Find the value of k, if 2x +1 is a factor of (3k+2)x^3 + (k-1).

Find the value of k if x -1 is a factor of k^2x^3 - 4kx + 4k - 1 .

(i) If the points (1,4),(3,-2)and (k,1) are collinear, fine the value of k. (ii) If the points A(k+1,2k),B(3k,2k+3)andC(5k-1,5k) are collinear, then find k