If `6a^(2) - 3b^(2) - c^(2) +7ab - ac+4bc = 0` then the family of lines `ax +by +c, |a| +|b| ne 0` is concurrent at

If 6a^2-3b^2-c^2+7ab-ac+4bc=0 then the family of lines ax+by+c=0,|a|+|b| != 0 can be concurrent at concurrent

If 6a^2-3b^2-c^2+7ab-ac+4bc=0 then the family of lines ax+by+c=0,|a|+|b| != 0 can be concurrent at concurrent (A) (-2,3) (B) (3,-1) (C) (2,3) (D) (-3,1)

If a^2+b^2-c^2-2ab = 0 , then the family of straight lines ax + by + c = 0 is concurrent at the points

If 2a^2 - 7ab -ac +3b^2-2bc-c^2=0 then the family of lines ax + by + c=0 are either concurrent at the point P(x_1,y_1) or at the point Q(x_2, y_2) . Find the distance of the origin from the line passing through the points P and Q, the distance being measured parallel to the line 3x-4y=2 .

If 4a^2+b^2+2c^2+4a b-6a c-3b c=0, then the family of lines a x+b y+c=0 may be concurrent at point(s) (-1,-1/2) (b) (-1,-1) (-2,-1) (d) (-1,2)

(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 the straight lines x+y-2-0,2x-y+1=0 and a x+b y-c=0 are concurrent, then the family of lines 2a x+3b y+c=0(a , b , c) are nonzero) is concurrent at (a) (2,3) (b) (1/2,1/3) (c) (-1/6,-5/9) (d) (2/3,-7/5)

If the straight lines x+y-2=0,2x-y+1=0 and a x+b y-c=0 are concurrent, then the family of lines 2a x+3b y+c=0(a , b , c are nonzero) is concurrent at (a) (2,3) (b) (1/2,1/3) (c) (-1/6,-5/9) (d) (2/3,-7/5)

Suppose A, B, C are defined as A = a^(2)b + ab^(2) - a^(2)c - ac^(2), B = b^(2)c + bc^(2) - a^(2)b - ab^(2) , and C = a^(2)c + ac^(2) - b^(2)c - bc^(2) , where a gt b gt c gt 0 and the equation Ax^(2) + Bx + C = 0 has equal roots, then a, b, c are in

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)