If the locus of the mid-point of the line segment from the point `(3,2)` to a point on the circle,`x^(2)+y^(2)=1` is a circle of radius `r,` then `r` is equal to :

Find the locus of the feet of the perpendiculars drawn from the point (b, 0) on tangents to the circle x^(2) + y^(2) =a^(2)

The point of contact of a tangent from the point (1, 2) to the circle x^2 + y^2 = 1 has the coordinates :

Find the polar of the point (1,2) w.r.t the circle x^2+y^2=7 .

The locus of the mid-point of the line segment joining a point on the parabola Y^(2)=4ax and the point of contact of circle drawn on focal distance of the point as diameter with the tangent at the vertex, is

The locus of a point which divides the join of A(-1,1) and a variable point P on the circle x^(2)+y^(2)=4 in the ratio 3:2 is

The locus of the point of intersection of the perpendicular tangents to the circle x^(2)+y^(2)=a^(2), x^(2)+y^(2)=b" is "

The locus of the point from which the length of the tangent to the circle x^(2)+y^(2)-2x-4y+4=0 is 3 units is

If P ((a)/(3),4) is the mid - point of the line segment joining the points Q(-6,5) and R(-2,3), then the value of a is

The locus of th point (l,m). If the line lx+my=1 touches the circle x^(2)+y^(2)=a^(2) is

The locus of the midpoint of a line segment that is drawn from a given external point P to a given circle with center O (where O is the orgin) and radius r is a straight line perpendiculat to P O a circle with center P and radius r a circle with center P and radius 2r a circle with center at the midpoint P O and radius r/2dot