The line `x+y=1` cuts the coordinate axes at P and Q and a line perpendicular to it meet the axes in R and S. The equation to the locus of the point of intersection of the lines PS and QR is

The straight line x/a+y/b=1 cuts the axes in A and B and a line perpendicular to AB cuts the axes in P and Q. Find the locus of the point of intersection of AQ and BP .

Let a line L_(1):3x+2y-6=0 intersect the x and y axes at P and Q respectively.Let another line L_(2) perpendicular to L_(1) cut the x and y axes at R and S respectively.The locus of point of intersection of the lines PS and QR is

Let a given line L_(1) intersect the X and Y axes at P and Q respectively.Let another line L_(2) perpendicular to L_(1) cut the X and Y -axes at Rand S,respectively.Show that the locus of the point of intersection of the line PS and QR is a circle passing through the origin

A line passes through A(-3,0) and B(0,-4). A variable line perpendicular to AB is drawn to cutx and y- axes at M and N. Find the locus of the point of intersection of the lines AN and BM.

A curve is given by the equations x = at^2 &y=at^3 A variable pair of perpendicular lines throughthe origin 'O' meet the curve at P & Q. Show that the locus of the point of intersection of the tangents at P & Q is 4y^2=3ax-a^2

A line L_(1) : (x)/(10)+(y)/(8)=1 intersects the coordinate axes at points A and B . Another line L_(2) perpendicular to L_(1) intersects the coordinate axes at C and D . The locus of circumcentre of Delta ABD is

The line 2x+3y=12 meets the coordinates axes at A and B respectively. The line through (5, 5) perpendicular to AB meets the coordinate axes and the line AB at C, D and E respectively. If O is the origin, then the area (in sq. units) of the figure OCEB is equal to