the lines `x + y + 1 = 0; 4x + 3y + 4 = 0` and `x + alphay + beta= 0,` where `alpha^2 + beta^2 = 2,` are concurrent

the lines x+y+1=0;4x+3y+4=0 and x+alpha y+beta=0, where alpha^(2)+beta^(2)=2 are concurrent

If the lines x - y - 1 = 0, 4x + 3y = k and 2x – 3y +1 = 0 are concurrent, then k is

If the lines x +3y -9 = 0, 4x + by -2 = 0 and 2x -y -4 = 0 are concurrent , the b is equal to

If the lines x + 3y - 9 = 0, 4x + by - 2 = 0 and 2x - y - 4 = 0 are concurrent, then the equation of the line passing through the point (b, 0) and concurrent with the given lines, is

If the lines x - 2y - 6 = 0 , 3x + y - 4 =0 and lambda x +4y + lambda^(2) = 0 are concurrent , then

If the lines 3x + 4y+ 1 = 0, 5x +lambda y + 3 = 0 and 2x + y-1 = 0 are concurrent, then lambda=

The equation of AB,BC, AC three sides of a triangle are -x + y -1 =0, x + y -1 =0 and x =-4if (alpha , 0) and (0, beta) lie inside the triangle where alpha, beta in Z, then