The line `x/3+y/4=1` meets the y-axis and x-axis at A and B respectively. A square `A B C D` is constructed on the line segment `A B` away from the origin. The coordinates of the vertex of the square farthest from the origin are

The line x/a+y/b=1 meets the axis of and y at A and B respectively and C is middle point of AB then

The coordinates of the image of the origin O with respect to the line x+y+1=0 are

The nearest point on the line 3x- 4y = 25 from the origin is

Let a line x/a+y/b=1 intersects the x-axis at A and y-axis at B resapectively. A line parallel to it is drawn to intersect the axes in P and Q respectively. The extermities of the lines are joined transversely. If the locus of point of intersection of the line joining them is x/a=cy/b, then c is equal to

The line 2x+3y=12 meets the x-axis at A and y-axis at B. The line through (5,5) perpendicular to AB meets the x-axis and the line AB at C and E respectively. If O is the origin of coordinates, find the area of figure OCEB.

The line 3x - 4y + 12 = 0 meets x-axis at point A and y-axis at point B. Find : equation of perpendicular bisector of line segment AB

The line y=(3x)/4 meets the lines x-y+1=0 and 2x-y=5 at A and B respectively. Coordinates of P on y=(3x)/4 such that PA*PB=25.

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

If the line 3x-2y + 6=0 meets X-axis and Y-axis respectively at A and B, then find the equation of the circle with radius AB and centre at A.

The line L_1-=4x+3y-12=0 intersects the x-and y-axies at A and B , 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