The ends A and B of a straight line segment of constant length c slide upon the fixed rectangular axes OX and OY, respectively. If the rectangle OAPB be completed, then the locus of the foot of the perpendicular drawn from P to AB is

Line segment AB of fixed length c slides between coordinate axes such that its ends A and B lie on the axes. If O is origin and rectangle OAPB is completed, then show that the locus of the foot of the perpendicular drawn from P to AB is x^((2)/(3)) + y^((2)/(3)) = c^((2)/(3)).

A straight line is drawn through P(3,4) to meet the axis of x and y at A and B respectively.If the rectangle OACB is completed,then find the locus of C.

A straight line passes through a fixed point (2, 3).Locus of the foot of the perpendicular on it drawn from the origin is

P and Q are two variable points on the axes of x and y respectively such that |OP| + |OQ|=a, then the locus of foot of perpendicular from origin on PQ is

A variable straight line passes through a fixed point (h,k). Find the locus of the foot of the perpendicular on it drawn from the origin.

If a circle of radius R passes through the origin O and intersects the coordinates axes at A and B, then the locus of the foot of perpendicular from O on AB is: