The equation `(b-c)x+(c-a)y+(a-b)=0` and `(b^3-c^3)x+(c^3-a^3)y+a^3-b^3=0` will represent the same line if

The equation (b-c)x+(c-a)y+a-b=0 (b^3-c^3)x+(c^3-a^3)y+a^3-b^3=0 will represent the same line if

Equations (b-c)x+(c-a)y+(a-b)=and(b^(3)-c^(3))x+(c^(3)-a^(3))y+a^(3)-b^(3)=0 will represent the same straight line if -

The line (x-a)/4=(y-b)/3=(z-c)/0 is

If c lt 1 and the system of equations x + y - 1 = 0, 2x - y - c = 0 and -bx + 3by - c = 0 is consistent, then the possible real values of b are a) b in (-3,(3)/(4)) b) b in (-(3)/(2),4) c) b in (-(3)/(4),3) d)None of these

If c<1 and the system of equations x+y-1=0,2x-y-c=0, and bx+3by-c=0 is consistent,then the possible real values of b are b epsilon(-3(3)/(4))quad b.b epsilon(-(3)/(2),4) c.be (-(3)/(4),3) d.none of these

L_1=(a-b)x+(b-c)y+(c-a)=0L_2=(b-c)x+(c-a)y+(a-b)=0L_3=(c-a)x+(a-b)y+(b-c)=0 KAMPLE 6 Show that the following lines are concurrent L1 = (a-b) x + (b-c)y + (c-a) = 0 12 = (b-c)x + (c-a) y + (a-b) = 0 L3 = (c-a)x + (a-b) y + (b-c) = 0. ,

If abc!=0 and if |(a,b,c),(b,c,a),(c,a,b)|=0 then (a^(3)+b^(3)+c^(3))/(abc)=