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devlian [24]
2 years ago
13

21. Given directed line segment WV , find the coordinates of R

Mathematics
1 answer:
Jobisdone [24]2 years ago
6 0

Answer:

R\left(\frac {4x_1+3x_2}{7} , \frac {4y_1+3y_2}{7}\right)

Step-by-step explanation:

Let the coordinate of the points W, V and R are (x_1,y_1), (x_2,y_2), and (x_s,y_s)respectively.

The coordinate of the section point, (x_s,y_s), which divides the line joining the two points (x_1,y_1) and (x_2,y_2) in the ration m:n is

x_s=\frac {nx_1+mx_2}{m+n} and

y_s=\frac {ny_1+my_2}{m+n}.

The given ration is, m:n=3:4

R(x_s,y_s)=R\left(\frac {nx_1+mx_2}{m+n} , \frac {ny_1+my_2}{m+n}\right)

=R\left(\frac {4x_1+3x_2}{7} , \frac {4y_1+3y_2}{7}\right).

The exact point can be determined by putting the value of the exact coordinate in the above-obtained formula.

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