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 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 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

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 .

Find the eqution of the curve passing through the point (1,1), if the tangent drawn at any point P(x,y) on the curve meets the coordinate axes at A and B such that P is the mid point of AB.

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

Consider an ellipse (x^(2))/(4)+y^(2)=alpha(alpha is parameter >0 ) and a parabola y^(2)=8x. If a common tangent to the ellipse and the parabola meets the coordinate axes at A and B, respectively,then find the locus of the midpoint of AB.

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 on the curve x=a cos^(3)theta,y=a sin^(3)theta meets the axes in P and Q. Prove that the locus of the midpoint of PQ is a circle.

If the tangent at any point P on the curve x^m y^n = a^(m+n), mn != 0 meets the coordinate axes in A, B then show that AP:BP is a constant.