Prove that the points of intersection of the line `x-y=2` with the parallel lines `2x+y=7 and 2x+y=16` are on the opposite sides of the line `x+y=5`.

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

Find the points of intersection of the line 2x+3y=18 and the cricle x^(2)+y^(2)=25 .

Find the equation of the circle passing through the point of intersection of the lines x+3y=0\ a n d\ 2x-7y=0 and whose centre is the point of intersection of the lines x+y+1=0\ a n d\ x-2y+4=0.

What is the intersection point of the lines defined by the equations 2x+y=7 and 3x-2y=21 ?

Is the line 3x + 2y = 5 parallel to the line x + 2y = 1 ?

The distance of the point of intersection of the lines 2x-3y+5=0 and 3x+4y=0 from the line 5x-2y=0 is

The distance of the point of intersection of the lines 2x-3y+5=0 and 3x+4y=0 from the line 5x-2y=0 is

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

The points of intersection of the line 4x-3y-10=0 and the circle x^2+y^2-2x+4y-20=0 are ________ and ________

Prove that the perpendiculars drawn from any point of the line 2x+11y=5 to the lines 24x+7y=20 and 4x-3y=2 are equal in length.