Family of Straight Lines.

True or false: The differential equation (d^2x)/(dy^2)=0 represents a family of straight line.

Let L be the line belonging to the family of straight lines (a+2b) x+(a-3b)y+a-8b =0, a, b in R, which is the farthest from the point (2, 2). If L is concurrent with the lines x-2y+1=0 and 3x-4y+ lambda=0 , then the value of lambda is

Let L be the line belonging to the family of straight lines (a+2b)x+(a-3b)y+a-8b=0 a,b in R , which is the farthest from the point (2,2) If L is concurrent with lines x-2y+1=0 and 3x-4y+lambda =0 , then the value of lambda is

Let L be the line belonging to the family of straight lines (a+2b) x+(a-3b)y+a-8b =0, a, b in R, which is the farthest from the point (2, 2). If L is concurrent with the lines x-2y+1=0 and 3x-4y+ lambda=0 , then the value of lambda is

Let L be the line belonging to the family of straight lines (a+2b) x+(a-3b)y+a-8b =0, a, b in R, which is the farthest from the point (2, 2). If L is concurrent with the lines x-2y+1=0 and 3x-4y+ lambda=0 , then the value of lambda is

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.

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

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