\( P \) is the point \( (-1,2) \), a variable line through \( P \) cuts the \( x \& y \) axes at...

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\( P \) is the point \( (-1,2) \), a variable line through \( P \) cuts the \( x \& y \) axes at \( A \& B \) respectively \( Q \) is the point on \( A B \) such that \( P A \), \( P Q, P B \) are H.P. Show that the locus of \( Q \) is the line \( y=-2 x .+4 \)
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