A moving straight line always passes through the point (h,k) . Prove that the locus of the middle point of the portion of the straight line intercepted between the axes of coordinates is , `(h)/(x)+(k)/(y)=2`.

A moving straight line always passes through a fixed point (alpha , beta) . Prove that the locus of the middle point of the portion of the line intercepted between the axes is (alpha)/(x)+(beta)/(y) = 2 .

A moving straight line always passes through a fixed point (alpha,beta) .Prove that the locus of the middile point of the portion of the line intercepted between the axes is alpha/x+beta/y=2

A moving st.line always passes through a fixed pt. (alpha,beta) .Prove that the locus of the middle point of the portion of the line intercepted between the axes is alpha/x+beta/y=2

Find the locus of the mid-point of the portion of the line x cosalpha+ysinalpha=4 intercepted between the axes of coordinates.

Find the coordinates of the middle point of the portion of the straight line 2x+y=4 intercepted between the x and the y - axes.

Find the locus of the mid - point of the portion of the line x cos alpha + y sin alpha = 4 intercepted between the axes of coordinates .

The variable straight line (x)/(a)+(y)/(b)=1 is such that , a+b=10. Find the locus of the middle point of that part of the line , which is intercepted between the axes .

The sum of the intercepts cut off from the axes of coordinates by a variable straight line is 10 units . Find the locus of the point which divides internally the part of the straight line intercepted between the axes of coordinates in the ratio 2:3 .

Find the locus of the middle point of the portion of the line xcosalpha+ysinalpha=p which is intercepted between the axes, given that p remains constant.

A straight line passes through (h, k) and the middle point of the also (h, k). Show that the equation of straight line kx + hy = 2hk.