A line intersects the straight lines `5x-y-4=0` and `3x-4y-4=0` at `A` and `B` , respectively. If a point `P(1,5)` on the line `A B` is such that `A P: P B=2:1` (internally), find point `Adot`

A line intersects the straight lines 5x - y - 4 = 0 and 3x - 4y - 4 = 0 at A and B respectively. If a point P (1, 5) on the line AB is such that AP : PB = 2:1 (internally), find the point A.

if line 2x+7y-1=0 intersect the lines L1:3x+4y+1=0 and L2:6x+8y-3=0 in A and B respectively,then equation of line parallal to L1 and L2 and passes through a point P such that AP:PB=2:1 (internally) is (P is on the line 2x + 7y-1=0)

The line y=(3x)/(4) meets the lines x-y+1-0 and 2x-y=5 at A and B respectively.Coordinates of P on y=(3x)/(4) such that PA*PB=25 .

Find the point of intersection of the lines 2x-3y+8=0 and 4x+5y=6

Find the image of the point P(1, 2) in the line x-3y+4=0

Find the value of P ,if the straight lines x+P=0,y+2=0 and 3x+2y+5=0 are concurrent.

The coordinates of the point of intersection of the lines 3x+4y-18=0 and 4x-5y+7=0 are