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+b+c=0 then the family of lines 3ax+by+2c=0 passes through the fixed point (i) (-2,(2)/(3)) (ii) (2,(3)/(3)) (iii) (2/3,2) (iv) none of these

The straight lines 4a x+3b y+c=0 passes through? , where a+b+c =0 (a) (4,3) (b) (1/4,1/3) (1/2,1/3) (d) none of these

If a/sqrt(b c)-2=sqrt(b/c)+sqrt(c/b), where a , b , c >0, then the family of lines sqrt(a)x+sqrt(b)y+sqrt(c)=0 passes though the fixed point given by (a) (1,1) (b) (1,-2) (c) (-1,2) (d) (-1,1)

If a/(b c)-2=sqrt(b/c)+sqrt(c/b), where a , b , c >0, then the family of lines sqrt(a)x+sqrt(b)y+sqrt(c)=0 passes though the fixed point given by (a) (1,1) (b) (1,-2) (-1,2) (d) (-1,1)

If a, b, c are in A.P. then the family of lines ax+by+c=0 (A) passes through a fixed point (B) cuts equal intercepts on both the axes (C) forms a triangle with the axes with area = 1/2 |a+c -2b| (D) none of these

(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.

The chord of contact of the pair of tangents drawn from any point on 3x+4y=8 to the circle x^2 + y^2 = 4 passes through a fixed point. (A) (1/2, 15/8) (B) (2, 3/2) (C) (3/2, 2) (D) none of these

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 .

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 a + 2b + 3c = 0 " then " a/3+(2b)/3+c=0 and comparing with line ax + by + c, we get x = 1/3 & y = 2/ 3 so there will be a point (1/3,2/3) from where each of the lines of the form ax + by + c = 0 will pass for the given relation between a,b,c . We can say if there exists a linear relation between a,b,c then the family of straight lines of the form of ax + by +c pass through a fixed point . If a , b, c are consecutive odd integers then the line ax + by + c = 0 will pass through