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If the coordinates of points A and B are (-2, -2) and (2, -4) respectively, find the coordinates of the point P such that `AP = (3)/(7)AB`, where P lies on the line segment AB.

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The correct Answer is:
`D harr ( 4,0)`
`ar( Delta ABD) = ( 1)/( 2) [ 4 ( - 2-0) + 3 ( 0 + 6) + 4 ( - 6+ 2) ] = 3 ` square units
`ar( Delta ACD ) = ( 1)/( 2) [ ( 2-0) + 5( 0 + 6) + 4 (-6-2) ] =3 ` square units
`:. ar ( Delta ABD) = ar ( Delta ACD) `
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