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 Aa n dB . Then find the locus of the midpoint of A Bdot

The tangent at a variable point P of the curve y=x^(2)x^(3) meets it again at Q. Show that the locus of the middle point of PQ is y=1-9x+28x^(2)-28x^(3)

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

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) P Aand PB are always equal (c) The locus of the midpoint of AB is x^(2)+y^(2)=x^(2)y^(2)(d) None of these

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 angle between a pair of tangents from a point P to the circle x^(2)+y^(2)=25 is (pi)/(3). Find the equation of the locus of the point P .

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 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.