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 L_1-=4x+3y-12=0 intersects the x-and y-axies at Aa n dB , respectively. A variable line perpendicular to L_1 intersects the x- and the y-axis at P and Q , respectively. Then the locus of the circumcenter of triangle A B Q is (a)3x-4y+2=0 (b)4x+3y+7=0 (c)6x-8y+7=0 (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

If area of the triangle formed by the line L perpendicular to 5x-y=1 and the coordinate axes is 5, then the distance of L from the origin is