The tangent at any point `P` on the circle `x^2 + y^2 = 2` cuts the axes in `L and M`. Find the locus of the middle point of `LM`.

The tangent at any point P on the circle x^2+y^2=4 meets the coordinate axes at A and B . Then find the locus of the midpoint of A Bdot

The tangent at P , any point on the circle x^2 +y^2 =4 , meets the coordinate axes in A and B , then (a) Length of AB is constant (b) PA and PB are always equal (c) The locus of the midpoint of AB is x^2 +y^2=x^2y^2 (d) None of these

A tangent to the parabola y^2 + 4bx = 0 meets the parabola y^2 = 4ax in P and Q. The locus of the middle points of PQ is:

Tangents are drawn from any point on the hyperbola (x^2)/9-(y^2)/4=1 to the circle x^2+y^2=9 . Find the locus of the midpoint of the chord of contact.

Tangents are drawn from any point on the conic x^2/a^2 + y^2/b^2 = 4 to the conic x^2/a^2 + y^2/b^2 = 1 . Find the locus of the point of intersection of the normals at the point of contact of the two tangents.

If a tangent to the circle x^(2)+y^(2)=1 intersects the coordinate axes at distinct points P and Q, then the locus of the mid-point of PQ is :

The tangent at any point to the circle x^(2)+y^(2)=r^(2) meets the coordinate axes at A and B. If the lines drawn parallel to axes through A and B meet at P then locus of P is

The tagents at any point P of the circle x^(2)+y^(2)=16 meets the tangents at a fixed point A at T. Point is joined to B, the other end of the diameter, through, A. The sum of focal distance of any point on the curce is

Tangents are drawn to a unit circle with centre at the origin from each point on the line 2x + y = 4 . Then the equation to the locus of the middle point of the chord of contact is

The angle between a pair of tangents from a point P to the circle x^(2)+y^(2)-6x-8y+9=0 is (pi)/(3) . Find the equation of the locus of the point P.