There are 3 QUESTIONS………. Question 1: L is a family of lines passing through the point P(1,4). Find the equations of the lines passing through P and, i)passing through (3,7) ii)perpendicular to the line 3x-5y+8=0 iii)making an angle of 45(degree) with the line x-2y+1=0 Question 2: L is a family of lines passing through the point (-5,3) Find an equation of L ‘ in L which encloses a triangle having area 2 square units with the coordinate axes. Question 3: * Consider the family lines L:(2x-y-8)+k(x-4y+11)=0 a) L passes through a fixed point A for any real value of k.Find the coordinates of A. b) Find the slope of L in terms of k. c)Let L’ be the line in L with k=0.Find 2 lines in L such that each makes an angle of 45(degree) with L’._________________

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