Question

7. If (1, 0) is the midpoint of the line joining the points A(- 6, - 5) and B, then find the coordinates of B.


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Answer 1

Answer:

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Explanation:

Given Data:

midpoint=(1,0)

A=(-6,-5)

To Find :

B=?

solution:

∵\begin{gathered}Midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\\\end{gathered}

Midpoint=(

2

x

1

+x

2

,

2

y

1

+y

2

)

\begin{gathered}\frac{x_1+x_2}{2}=1\\\\\frac{y_1+y_2}{2}=0\end{gathered}

2

x

1

+x

2

=1

2

y

1

+y

2

=0

substituting the values

\frac{-6+x_2}{2}=1

2

−6+x

2

=1 ___(i)

\frac{-5+y_2}{2}=0

2

−5+y

2

=0 ___(ii)

from (i)

\begin{gathered}x_2-6=1X2\\x_2-6=2\\x_2=2+6\\x_2=8\end{gathered}

x

2

−6=1X2

x

2

−6=2

x

2

=2+6

x

2

=8

from (ii)

\begin{gathered}y_2-5=0X2\\y_2-5=0\\y_2=0+5\\y_2=5\end{gathered}

y

2

−5=0X2

y

2

−5=0

y

2

=0+5

y

2

=5

A=(x1,y1)=(-6,-5)

B=(x2,y2)=(8,5)