Math Forum :: View topic – STRAIGHT LINES and RECTILINEAR FIGURES

Question 1: a) The coordinates of the points P and Q are (-2,3) and (4,0) respectively.T is a point on PQ such that PT/TQ=r. write down the coordinate of T in terms of r. b)Consider 2 lines: L: x-2y+3=0 and L’:5x-7y+6=0.Find the equation of the line L” passing through the intersection of L and L’ and perpendicular to PQ. c) Using the result of a), or otherwise,find the ratio in which L” divides PQ. Question 2: L is a family of lines parallel to the line 3x-y+2=0. a) Find an equation of the line L’ in the family which is the bisector of the line segment joining A(-1,2) and B(3,3). b) Find an equation of the line L” in the family which is 2根10 units from the point A(-1,2). *Question 3: L is a family of lines passing through the point (-2,3).Write down an equation of L.Hence find the equations of L’,which are lines of L,WITH SUM OF INTERCEPTS EQUAL TO 2. bUT, the example of the books shows to me that the sum of the intercepts is 2.Can you explained to me?_________________

1+1= 2 or 1+1=11 (rejected)