Show that the locus of the mid-point of the segment intercepted between the axes of the variable line `xcosalpha+ysinalpha = p` then `1/(x^2)+1/(y^2)=4/(p^2),` where `p` is a constant.

Show that the locus of the mid-point of the segment intercepted between the axes of the variable line x cos alpha+y sin alpha=p then (1)/(x^(2))+(1)/(y^(2))=(4)/(p^(2)), where p is a constant.

The locus of the mid-point of the portion intercepted between the axes by the line xcosalpha+ysinalpha=P passes through the point (p+1,p-1), then p^4-5p^2 =

If P(a,b) is the mid point of a line segment between the axes, then:

The locus of the midpoint of the portion between the axes of xcosalpha+ysinalpha = p , where p is constant, is

Find the locus of mid-point of the portion of tangent intercepted between coordinate axes to the circle x^(2)+y^(2)=1