Let `k` be a non-zero real number.The two lines with equations `y-3x+k=0` and `6x-2y=k`

Let f(x)=x^(2)+kx;k is a real number.The set of values of k for which the equation f(x)=0 and f(f(x))=0 have same real solution set.

Let n_(k) be the number of real solution of the equation |x+1| + |x-3| = K , then

The value of k, so that the following system of equations 3x – y + 5 = 0 and 6x - 2y + k=0 has no solution, is

The value of 'k' so that the system of equations 3x-y-5 =0 and 6x-2y-k=0 has infinite solutions

If the sum of two roots of the equation x^(3)-3x^(2)-16x+k=0 is zero then k=

The number of value of k for which the linear equations 4x+k y+2z=0k x=4y+z=0 2x+2y+z=0 posses a non-zero solution is- a. 1 b. \ zero c. \ 3 d. 2

For what value(s) of k, the pair of linear equations -2x + 5y = 0 and kx + 3y = 0 has a non-zero solutions?

The set of all non-zero real values of k, for which the lines (x-4)/(2)=(y-6)/(2)=(z-8)/(-2k^(2))and(x-2)/(2k^(2))=(y-8)/(4)=(z-10)/(2) are coplanar: