The st. lines `3x + 4y =5 and 4x-3y = 15` interrect at a point `A(3,-1)`. On these linepoints B and C are chosen so that `AB = AC`. Find the possible eqns of the line BC pathrough the point `(1, 2)`

If P is a point (x ,y) on the line y=-3x such that P and the point (3, 4) are on the opposite sides of the line 3x-4y=8, then

Find equation of the line parallel to the line 3x - 4y + 2 = 0 and passing through the point (2, 3) .

Find equation of the line parallel to the line 3x-4y+2=0 and passing through the point (−2,3).

find equation of the line parallel to the line 3x - 4y + 2 = 0 and passing through the point (-2, 3).

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 .

Find the equations of the lines passing through the point (4,5) parallel to lines 3x=4y+7 .

If the line 4x - 3y = -12 is tangent at point (-3,0) and the line 3x+4y=16 is tangent at the point (4,1) to a circle then equation of circle

The line 3x - 4y + 12 = 0 meets x-axis at point A and y-axis at point B. Find : the co-ordinates of A and B.

The line 4x + 5y + 20 = 0 meets x-axis at point A and y-axis at point B Find : the co-ordinates of point P in AB such that AB : BP = 5:3.

The equation of a line is 3x - 4y + 12 = 0 . It meets the x-axis at point A and the y-axis at point B. Find : the length of intercept AB, cut by the line within the co-ordinate axes.