Find the equation of the hyperbola which has `3x-4y+7=0` and `4x+3y+1=0` as its asymptotes and which passes through the origin.

Find the eccentricity of the hyperbola with asymptotes 3x+4y=2 and 4x-3y=1

Find the eccentricity of the hyperbola with asymptotes 3x+4y=2 and 4x-3y=2 .

Find the equation of a hyperbola whose asymptotes are 2x - y- 3 = 0 and 3x + y - 7 = 0 and which pass through (1, 1).

Find the equation of the hyperbola,whose asymptotes are the straight lines (x+2y+3)=0,(3x+4y+5)=0 and which passes through the point (1-1)

Find the equations to the straight lines which are at a distanceof 2unit from the origin and which pass through the pointof intersection of the lines 3x+4y=4 and 2x+5y+2=0

The equation of the hyperbola which passes through thepoint (2,3) and has the asymptotes 4x+3y7=0 and x2y-1=0 is

The equation of the asymptotes of a hyperbola are 4x - 3y + 8 = 0 and 3x + 4y - 7 = 0 , then

Find the equation of the line through the intersection of the lines 3x+y-9=0 and 4x+3y-7=0 and which is perpendicular to the line 5x-4y+1=0.

Find the equation of the line drawn through the point interseciton of the line 4x-3y+7=0 and 2x+3y+5=0 and passing through the point (-4,5).