A given line `L_1` cut `x` and y-axes at `P and Q` respectively and has intercepts `a and b/2` on `x` and y-axes respectively. Let another line `L_2` perpendicular to `L_1` cut `x` and y-axes at `R and S` respectively. Let `T` be the point of intersection of `PS and QR`. Locus of `T` is a circle having centre at (A) `(a, b)` (B) `(a, b/2)` (C) `(a/2, b)` (D) `(a/2, b/4)`

A given line L_1 cut x and y-axes at P and Q respectively and has intercepts a and b/2 on x and y-axes respectively. Let another line L_2 perpendicular to L_1 cut x and y-axes at R and S respectively. Let T be the point of intersection of PS and QR . If two chords each bisected by x-axis can be drawn from (a, b/2) to the locus of T , then (A) a^2 gt 2b^2 (B) b^2 gt 2a^2 (C) a^2 lt 2b^2 (D) b^2 lt 2a^2

A given line L_1 cut x and y-axes at P and Q respectively and has intercepts a and b/2 on x and y-axes respectively. Let another line L_2 perpendicular to L_1 cut x and y-axes at R and S respectively. Let T be the point of intersection of PS and QR . A straight line passes through the centre of locus of T . Then locus of the foot of perpendicular to it from origin is : (A) a straight line (B) a circle (C) a parabola (D) none of these

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

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 L denote the line in the x - y plane with x and y intercepts as 3 and 1 respectively . The the image of the point (-1,-4) in this line is :

Let the line (x)/(a)+(y)/(b)=1 cuts the x and y axes at A and B respectively.Now a line parallel to the given line cuts the coordinate axis at P and Q and points P and Q are joined to B and A respectively.The locus of intersection of the joning lines is