If a system of three linear equations `x+4a y+a=0,x+3b y+b=0,a n dx+2c y+c=0` is consistent, then prove that `a ,b , c` are in H.P.

If a system of three linear equations x+4a y+a=0,x+3b y+b=0, and x+2c y+c=0 is consistent, then prove that a ,b , c are in H.P.

If a system of three linear equations x+4a y+a=0,x+3b y+b=0, and x+2c y+c=0 is consistent, then prove that a ,b , c are in H.P.

If a system of three linear equations x + 4ay + a = 0, x + 3by + b = 0, and x + 2cy + c = 0 is consistent, then prove that a,b,c are in H.P.

If a system of three linear equations x+4ay+a=0,x+3by+b=0, and x+2cy+c=0 is consistent,then prove that a,b,c are in H.P.

If the equation 2x+3y+1=0,3x+y-2=0,a n da x+2y-b=0 are consistent, then prove that a-b=2.

If the equation 2x+3y+1=0,3x+y-2=0,a n da x+2y-b=0 are consistent, then prove that a-b=2.

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+3b y-c=0 is consistent, then the possible real values of b are

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