The line through `(4, 3) and (-6, 0)` intersects the line `5x+y=0`. Find the angles of intersection.

The line through the points (h, 3) and (4, 1) intersects the line 7x-9y-19=0 at right angle. Find the value of h.

A variable line passing through the point P(0, 0, 2) always makes angle 60^(@) with z-axis, intersects the plane x+y+z=1 . Find the locus of point of intersection of the line and the plane.

Find the equations of the lines through the point of intersection of the lines x -y+1=0 and 2x-3y+5= 0 whose distance from the point (3, 2) is 7/5

Find the equation of the line through the intersection of the lines 2x+3y+4=0 and x+5y=7 that has its x-intercept equal to 4 .

Find the coordinates of the point, where the line (x-2)/3=(y+1)/4=(z-2)/2 intersects the plane x-y+z-5=0 . Also find the angle between the line and the plane.

Find the coordinates of the point, where the line (x-2)/3=(y+1)/4=(z-2)/2 intersects the plane x-y+z-5=0 . Also find the angle between the line and the plane.

Find the equation of a line passing through the point of intersection of the lines 5x+y-3=0 and x+3y+1=0 and made equal intercept from the co-ordinates axes.

Find the equations of the lines through the point of intersection of the lines x-y+1=0a n d2x-3y+5=0 whose distance from the point (3,2) is 7/5.

Find the equation of a line passing through the intersection of the lines x+3y=4 and 2x-y=1 and (0,0) lies on this line.

Prove that the lines through A(0,-1,-1)a n dB(4,5,1) intersects the line through C(3,9,4)a n dD(-4,4,4)dot Also, find their point of intersection.