\begin{array} { l } { \text { The locus given by } x \text { cos } \alpha + y \sin \alpha = p \text { , } } \\ { \text { where } \alpha \neq 0 , \alpha \neq \frac { \pi } { 2 } \text { and p is a constant. } } \\ { \text { intersects the } X \text { and } Y \text { axes at the points } A \text { and } B } \\ { \text { respectively. Find the equation of locus of } } \\ { \text { midpoint of segment AB. } } \end{array}

\begin{array} { l } { \text { The locus given by } x \text { cos } \al

1.	\begin{array} { l } { \text { The locus given by } x \text { cos } \alpha + y \sin \alpha = p \text { , } } \\ { \text { where } \alpha \neq 0 , \alpha \neq \frac { \pi } { 2 } \text { and p is a constant. } } \\ { \text { intersects the } X \text { and } Y \text { axes at the points } A \text { and } B } \\ { \text { respectively. Find the equation of locus of } } \\ { \text { midpoint of segment AB. } } \end{array}
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