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The algebraic sum of distances of the line ax + by + 2 = 0 from (1,2), (2,1) and (3,5) is zero and the lines bx - ay + 4 = 0 and 3x + 4y + 5=0 cut the coordinate axes at concyclic points. Then (a) a+b=-2/7 (b) area of triangle formed by the line ax+by+2=0 with coordinate axes is 14/5 (c) line ax+by+3=0 always passes through the point (-1,1) (d) max {a,b}=5/7

the lines 3x + 4y 12 and Consider a variable line L which passes through the point of intersection P of x + 2y-5 = 0 meeting the coordinate axes at points A and B. Then 5 4. · locus of middle point°f segment AB has the equation?+x-4 2(x2 + y2) = 4x + 3y locus of centroid of the variable triangle OAB has the equation (where O is origin)-+-6 (A) (B) locus of the feet of the perpendicular from the origin on the variable line L has the equation (C) (D) locus of middle point of segment AB has the equation 8 3