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

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

The straight line 4x + 3y - 12 = 0 intersects the x -and y-axis A and B respectively. Find the coordinates of the point at which the straight line bar(AB) is divided internally into the ratio 2 : 1.

The triangle formed by the lines x+y =0,3x+y=4 and x+3y=4 is-

The lines 4x+4y =1,8x -3y =2 and y=0 are-

A straight lines L through the origin meets the lines x+y=1 and x+y=3 at P and Q respectively. Through P and Q two straight lines L_1 and L_2 are drawn, parallel to 2x-y=5 and 3x+y=5 respectively. Line L_1 and L_2 intersect at R. Show that the locus of R as L varies is a straight line.

Find the acute angle between the lines 7x-4y =0 and 3x-11y +2=0.

The line (x-1)/2=(y-2)/-3=(z+5)/4 meets the plane 2x+4y-z= 3 at the point whose coordinates are

If the lines 4x+3y=1,y=x+5 and 5y+bx=3 are concurrent, then find the value of b.

The line (x-1)/(2) = (y -2)/(-3) = (z + 5)/(4) meets the plane 2x + 4y -z = 3 at the point whose coordinates are

A line through A(-5,-4) meets the lines x+3y+2=0, 2x+y+4=0 and x-y-5=0 at the points B, C and D respectively. If (15/(AB))^2+(10/(AC))^2=(6/(AD))^2 find the equation of the line.