Prove that the line `k^2 x+ ky+1 =0` is perpendicular to the line `x-ky=1` for all real values of `k(!=0)`.

Show that the line a^2x+a y+1=0 is perpendicular to the line x-a y=1 for all non zero real values of adot

If the line x-3y+5+ k(x+y-3)=0 , is perpendicular to the line x+y=1 , and k .

If the lines (x)/(3)+(y)/(4)=5 and 3x+ky=9 are perpendicular to each then the value of k is

If the lines x+(a-1)y+1=0 and 2x+a^2y-1=0 are perpendicular, then find the value of adot

Prove that the line y=m(x-1)+3sqrt(1+m^(2))-2 touches the circle x^(2)+y^(2)-2x+4y-4=0 for all real values of m.

The graph of 3x-4y=5 is perpendicular to the graph of 2x+ky-10=0. Find k.

Determine the value of k so that the line joining points A(k,1,-1) and B(2,0,2k) is perpendicular to the line joining the points C(4,2k,1) and D(2,3,2) .

Find the value of k such that the line (k-2)x+(k+3)y-5=0 is parallel to the line 2x-y+7=0

For what value of k is the line x-y+2+k(2x+3y)=0 parallel to the line 3x+y=0 ?

Find the value of k such that the line (k-2)x+(k+3)y-5=0 perpendicualr to 2x-y+7=0 .