Find k so that the line `2x + ky – 9 = 0` may be perpendicular to `2x + 3y – 1 = 0`

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) .

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) .

Fill in the blanks in each of the following, using the answers given against each of them : The lines 2x - 3y + 1 = 0 and 3x+ ky - 1 = 0 are perpendicular to each other if k = _____ .

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

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

Find the equation of the tangents to the circle x^2+y^2=9 , perpendicular to the line x - y - 1 = 0.

Find the equation of the line passing through the point of intersection of lines x + 3y + 2 = 0 and x-2y-4 = 0 and perpendicular to the line 2y + 5x - 9 = 0.

Find the value of p so that the three lines 3x + y + 2 = 0 , p x + 2 y - 3 = 0 and 2x + y+ 3 = 0 may intersect at one point.