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

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

On the portion of the line x+3y-3=0 which is intercepted between the coordinate axes,a square is constructed on the side of line away from the origin .Find co-ordinates of the intersection of its diagonals.Also find the equation of the opposite side of the given side.

Find line coordinates of that point on the line 3x-4y=25 which is nearest to the origin.

One diagonal of a square is the intercept of the line x/a+y/b=1 between the axes. Find the coordinates of other two vertices

The distance of the straight line a(x-a)+b(y-b)=0 from the origin is -

Which one of the following points is the nearest poit on the line 3x-4y =25 from the origin ?

A line passing through the point P(4,2) meets the x and y-axis at A and B respectively. If O is the origin, then locus of the centre of the circumcircle of triangle OAB is

If a line y=3x+1 cuts the parabola x^2-4x-4y+20=0 at A and B , then the tangent of the angle subtended by line segment A B at the origin is

The straight lines 4x + 3y = 12 and 4x - 3y = 12 intersect the x-axis at A and B respectively. If the lengt of the perpendicular drawn from C to AB be 4 units, then area of the DeltaABC is

Find the minimum distance of any point on the line 3x+4y-10=0 from the origin using polar coordinates.