Consider the two straight lines
3x−4y+7=0andkx+8y−5=0,
where k is a real constant.
(i) Find the value of k for which the two lines are parallel.
(ii) Using the value obtained in part (i), verify analytically that the lines are indeed parallel.
(iii) Find the value of k for which the two lines are perpendicular.
(iv) Using the value obtained in part (iii), verify analytically that the lines are perpendicular.