Prove that the equation represent a family of lines which pass through a fixed point. Also find the fixed point : (ii) `gammax+y=4`

Prove that the equation represent a family of lines which pass through a fixed point. Also find the fixed point : (i) (gamma-1) x+gammay=1-3gamma

Show that for any value of m the equation mx- y=4m-3represents a straight line passing through a fixed point.What is the fixed point?

Show that the equation (3-2k) x-(2+k)y=5-k, where k is real represents a family of lines all passing through a fixed point. Find the co-ordinates of this fixed point.

Let a ,\ b ,\ c be parameters. Then the equation a x+b y+c=0 will represent a family of straight lines passikng through a fixed point iff there exists a linear relation between a , b ,\ a n d\ cdot

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.

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.

If a,b,c are variables such that 3a+2b+4c=0, then show that the family of lines givenby ax+by+c=0 pass through a fixed point.Also,find that point.

Prove that the equation x^(2)+y^(2)-2x-2ay-8=0, a in R represents the family of circles passing through two fixed points on x-axis.

Prove that the family of lines represented by x(1+lambda)+y(2-lambda)+5=0,lambda being arbitrary, pass through a fixed point. Also find the fixed point.