m. Coordinates of B are ( x , ). Therefore x = × × = i.e. x = = metres Example A rod AB of length cm rests in between two coordinate axes in such a way that the end point A lies on x -axis and end point B lies on y -axis.
A point P( x , y ) is taken on the rod in such a way that AP = cm. Show that the locus of P is an ellipse. Solution Let AB be the rod making an angle θ with OX as shown in Fig . and P ( x , y ) the point on it such that AP = cm.
Since AB = cm, we have PB = cm. From P draw PQ and PR perpendiculars on y -axis and x -axis, respectively. Fig . MATHEMATICS From