Find the equation of the line which is perpendicular to the line `x/a - y/b=1` at the point where this line meets y-axis.
The point P is the foot of perpendicular from A (−5, 7) to the line whose equation is 2x – 3y + 18 = 0. Determine :
(i) the equation of the line AP
(ii) the co-ordinates of P.
(i) Write down the equation of the line AB, through (3, 2) and perpendicular to the line
2y = 3x + 5
(ii) AB meets the x-axis at A and the y-axis at B. Write down the co-ordinates of A and B.
Calculate the area of triangle OAB, where O is the origin.
Find the equation of the perpendicular bisector of the line segment obtained on joining the points
(6, −3) and (0, 3)