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

If 3a + 2b + 6c = 0 the family of straight lines ax+by = c = 0 passes through a fixed point . Find the coordinates of fixed point .

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

If a ,\ b , c are in A.P., then the line a x+b y+c=0 passes through a fixed point. write the coordinates of that point.

If a+b+c=0 , then the family of lines 3a x+b y+2c=0 pass through fixed point a. (2,2/3) b. (2/3,2) c. (-2,2/3) d. none of these

If a and b are two arbitrary constants, then prove that the straight line (a-2b)x+(a+3b)y+3a+4b=0 will pass through a fixed point. Find that point.

(i) If a, b, c, are in A.P. then show that ax….+….by +c=0 passes through a fixed point. Find then fixed point. (ii) If 9a^(2)+16b^(2)-24ab-25c^(2)=0, then the family of straight lines ax+by+0 is concurrent at the point whose co-ordinates are given by "________" (iii) If 3a+4b-5c=0, then the family of straight lines ax+by+c=0 passes through a fixed point. Find the coordinates of the point.

If 5a+5b+20 c=t , then find the value of t for which the line a x+b y+c-1=0 always passes through a fixed point.

If 5a+5b+20 c=t , then find the value of t for which the line a x+b y+c-1=0 always passes through a fixed point.

Show that the lines represented by x(a+3b)+y(2a-b)=5a+b pass through a fixed point for different values of a and b .

If a, b, c are variables such that 21a + 40b + 56c=0 then the family of lines ax+by+c=0 passes through (A) (7/14, 9/4) (B) (4/7, 3/8) (C) (3/8, 5/7) (D) (2, 3)