Question

The line segment AB is divided at P(1, 1) internally in the ratio 5: 2 and coordinates of point B are (-1, point A. 1) find the coordinates of point A​

Answer 1

Answer:

P(1,1)

B(-1,-1)

Let A(x,y)

\begin{gathered}p( \frac{5( - 1) + 2x}{7} \frac{5( - 1) + 2y}{7} ) \\ \frac{ - 5 + 2x}{7} = 1 \\ 2x = 7 + 5 \\ x = 6 \\ and \\ \frac{ - 5 + 2y}{7} = 1 \\ 2y = 7 + 5 \\ y = 6\end{gathered}

p(

7

5(−1)+2x

7

5(−1)+2y

)

7

−5+2x

=1

2x=7+5

x=6

and

7

−5+2y

=1

2y=7+5

y=6

pont A have coordinate 6,6.

Hope this answer will help you

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