Question

Find the ratio in which the point P(2,x) divides the line joining the points A(-2,2) and B(3,7) internally. Also find the value of x

Answer 1

Hey mate , here is ur answer..

Hope, it helps you.....

Answer 2

The ratio of internal division is 4:1 and the value of x is 6

• The line joining two given points A(-2,2) and B(3,7) are internally divided by the point P(2,x)
• Let the ratio of internal division is m:n
• Hence we get $\frac{3m-2n}{m+n} = 2$ and $\frac{7m+2n}{m+n} = x$ .
• Rearranging the first equation we get m = 4n.
• This implies m:n = 4:1
• Now putting the value m = 4n in second equation we get x = $\frac{28n+2n}{4n+n} = \frac{30n}{5n} = 6$
• Hence the ratio of internal division is 4:1 and the value of x is 6