Question

).The points which divides the line segment of points

P(-1, 7) and (4, -3) in the ratio of 2:3 is:​

Answer 1

Answer:

(2 , 1)

2 × (-1) + 3 × (4) / 5 , 2 × (7) + 3 × (-3) / 5

10/5 , 5/5

Answer 2

Answer:

Step-by-step-Explanation:

Given:P(-1,7) and Q(4,-3)

To find:Find the point which divides the line segment in ratio 2:3.

Solution:

Tip: Section formula

If line segment by joining the points $P(x_1,y_1)$and $Q(x_2,y_2)$ is divided by the R(x,y) in m:n ratio,then coordinates of R are given by

$\boxed{\bold{\red{x = \frac{mx_1 + nx_2}{m + n} }}} \\ \\ \boxed{\bold{\green{y = \frac{my_1 + ny_2}{m + n}}}}$

Here,

Points are P(-1,7) and Q(4,-3) ,ratio is 2:3

apply the values in the formula

$x = \frac{2(4) + 3( - 1)}{2 + 3}$

$x = \frac{8 - 3}{5}$

$x = \frac{5}{5}$

$\bold{\red{x = 1 }}$

by the same way,find y

$y = \frac{3 (7)+ 2( - 3)}{3 + 2}$

$y = \frac{21 - 6}{5}$

$y = \frac{15}{5}$

$\bold{\green{y = 3 }}$

Coordinates of R are (1,3).

Final answer:

Coordinates of R are (1,3).

Hope it helps you.

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