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

The variable line drawn through the point (1,3) meets the x -axis at A and y -axis at B .If the rectangle OAPB is completed.Where O isthe origin,then locus of ^(-)P' is

The variable line drawn through the point (1,3) meets the x-axis at A and y -axis at B .If the rectangle OAPB is completed.Where O is the origin,then locus of P is

A tangent is drawn to the parabola y^(2)=4ax at P such that it cuts the y-axis at Q. A line perpendicular to this tangents is drawn through Q which cuts the axis of the parabola at R. If the rectangle PQRS is completed, then find the locus of S.

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

Tongent and normal drawn to a parabola at A(at^(2),2at),t!=0 meet the x-axis at point BandD,respectively.If the rectangle ABCD is completed,then the locus of C is (a)y=2a (b) y+2a=c(c)x=2a (d) none of these

The straight line through a fixed point (2,3) intersects the coordinate axes at distinct point P and Q.If O is the origin and the rectangle OPRQ is completed then the locus of R is

A line passing through P(4,2) meet the X and Y -axes at A and B, respectively.If O is the origin,then locus of the centre of the circumference of triangle OAB is

If a tangent to the parabola y^(2)=4ax meets the x -axis at T and intersects the tangents at vertex A at P, and rectangle TAPQ is completed,then find the locus of point Q.