Show that triangle ABC is right-angled where A = (-2,-1), B = (2,1) and C = (1,3).

4(a) Find the equation of a line which passes through the point A(-3, 4) and which is parallel to the line 3x + 4y - 15=0.

4(b) The points P, Q and R are (5, —3), (-6, I) and (1, 8) respectively. Show that these points form an isosceles triangle.

 (b). Find the point of intersection of the lines x ? 2y = ?5 and 2x + 7y ? 34 = 0

(b)  Find the equation of the line passing passing through the midpoint of the points A(− 3 2, ) and B(1,− )4 and which is perpendicular to line AB .

(b) Find the equation of the line passing at point (6, ­2) and it is perpendicular to the line that crosses the ­x-axis at 3 and the y­-axis at ­4.

Let P and Q be two points at (2,5) and (4, -1) respectively. Find

(i)Find equation of the line that passes through the midpoint of PQ and is perpendicular to it in form of ax + by +c=0

(ii)The distance between P and Q

(ii) Find the length of a line segment joining the points (3,-2) and (15,3) .