find the locus of the mid point of the portion of the line x cosa +yp sin a = p which is intercepted between the axis ??
If the equation of the given line is , then the solution is shown below:
The line intercepts the axes.
Thus the coordinate of the point where the line intercepts x-axis is , and the coordinate of the point where the line intercepts y-axis is . The mid-point R of the line is given by
Eliminating the sine and cosine terms, we get
Thus, the locus is given by