Family of Straight Lines.

Statement -1 : If a,b,c are parameters such that 3a + 2b+4c=0, then the family of lines ax +by+ c =0 pass through a fixed point (3,2). and Statement -2: The equation ax + by + c =0 wil represent a family of straight lines passing through a fixed point if there exist a linear relation between a, b and c.

Statement-1: All chords of the curve 3x^(2)-y^(2)-2x+4y=0 which subtend a right angle at the origin pass through a fixed point. Statement-2: The equation ax+by+c=0 represents a family of straight lines passing through a fixed point iff there is a linear relation between a, b and c.

Straight Line L2

The differential equation of the family of straight line y=mx+(4)/(m) , where m is the parameter, is

If 25a^2 + 16b^2 – 40ab – c^2 = 0 , then the family of straight line 2ax + by + c = 0 is concurrent at

If a^(2)+4b^(2)-9c^(2)=4ab, then the line on which the point of concurrency of family of straight line ax+by+3c=0 lies is (a)x+y=-1(c)x+y3(b)x+y=1 (d) 2x+y=0

Equation Of Pair Of Straight Lines

Find the differential equation of the family of all straight lines.