The range of the value of k for which the number 3 lies between the roots of the equation `x^2+(1-2k)x+(k^2 -k-2)=0` is given by

Let A be the set of values of k for which 2 lies between the roots of the quadratic equation x^(2)+(k+2)x-(k+3)=0 , then A is given by

Let A be the set of values of k for which 2 lies between the roots of the quadratic equation x^(2)+(k+2)x-(k+3)=0 , then A is given by

Find the value of k for which the point (1,-2) lies on the graph of the linear equation x-2y+k=0

Find the value of k for which the point (1,\ -2) lies on the graph of the linear equation x-2y+k=0

Find the values of k for which the given equation has real roots: k x^2-6x-2=0

Find the values of k for which the given equation has real roots: 5x^2-k x+1=0

The value of k for which the sum of the squares of the roots of 2x^(2)-2(k-2)x-k=0 is least is

The value of k for which the sum of the squares of the roots of 2x^(2)-2(k-2)x-k=0 is least is

The value of k for which a will be a root of the quadratic equation x^(2)+3ax-k=0" is "4a^(2) TRUE or FALSE.

In each of the following, determine the value of k for which the given value is a solution of the equation: (i) k x^2+2x-3=0,\ \ x=2 (ii) 3x^2+2k x-3=0,\ \ x=-1/2 (iii) x^2+2a x-k=0,\ \ x=-a