Question

If A (-2,-2) and B(2,-4) are two points on a line segment AB and "P" is a point such that AP =3/7 then P =

Answer 1

${ \bold{ \underline{ correct \: \: question}} : - } \\ \\ { \bold{A( - 2,- 2) \: \: and \: \:B(2, - 4) \: \: are \: \:two \: \: points \: \: on}} \\ { \bold{ AB, \: where \: \: point \: \: p \: \:such \: \: as \: \:Ap = \frac{3}{7} AB \: \: then \: \: find \: \: p }} \\ \\ \\ \\ { \bold{ \red{ \underline{ \huge \: answer}: - } }} \\ \\ { \bold{ \blue{ \implies \: AP = \frac{3}{7} AB}}} \\ \\ { \bold{ \blue{ \implies{ \frac{AB}{AP} = \frac{7}{3} }}}} \\ \\ { \bold{ \blue{ \implies{ \frac{ap + pb}{ap} = \frac{7}{3} }}}} \\ \\ { \bold{ \blue{ \implies{1 + \frac{pb}{ap} = \frac{7}{3} }}}} \\ \\ { \bold{ \blue{ \implies{ \frac{pb}{ap} = \frac{4}{3} }}}} \\ \\ { \bold{ \blue{ { \: \: \: \: . \: \: it \: means \: \: lines \: \: i n\: 4: 3}}}} \\ \\ { \bold{ \blue{ \: \: \: \: . \: \: now \: \: suppose \: \: p(x , y)}}} \\ \\ { \bold{ \red{ \implies \: \: coordinates \: \: of \: \: p = ( \frac{m x_{2} + n x_{1}}{m + n}, \frac{m y_{2} + ny_{1} }{m + n} )}}}$

${ \bold{ \blue{ \implies \:p = ( \frac{3 \times 2 + 4( - 2)}{3 + 4} , \frac{3( - 4) + 4(2)}{3 + 4}) }}}\\ \\ { \bold{ \blue{ \implies \: p = ( - \frac{2}{7} ,- \frac{20}{7} )}}}$

Answer 2

Answer:

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