Question

find the coordinates of the point which divides the line segment joining the points (4 -3) ,(8,5) internally 3:1​

Answer 1

S O L U T I O N :

$\underline{\bf{Given\::}}$

The points (4,-3) & (8,5) internally ratio be 3:1 .

$\underline{\bf{Explanation\::}}$

As we know that formula of the co-ordinate by Internal division;

$\boxed{\bf{\bigg(\frac{mx_2 + nx_1 }{m+n} , \frac{my_2 + ny_1}{m+n}\bigg) }}$

A/q

Let point C = C(x,y) divide the given line AB in the ratio 3:1 .

m:n = 3:1

$\longrightarrow\tt{x = \dfrac{mx_2 + nx_1 }{m+n} }$

$\longrightarrow\tt{x = \dfrac{3\times 8 + 1 \times 4 }{3+1} }$

$\longrightarrow\tt{x = \dfrac{24 + 4}{3+1} }$

$\longrightarrow\tt{x = \cancel{\dfrac{28}{4} }}$

$\longrightarrow\bf{x = 7}$

&

$\longrightarrow\tt{y = \dfrac{my_2 + ny_1 }{m+n} }$

$\longrightarrow\tt{y = \dfrac{3\times 5 + 1 \times (-3) }{3+1} }$

$\longrightarrow\tt{y = \dfrac{15+ (-3) }{3+1} }$

$\longrightarrow\tt{y = \dfrac{15-3 }{4} }$

$\longrightarrow\tt{y=\cancel{\dfrac{12 }{4} }}$

$\longrightarrow\bf{y = 3}$

Thus,

The co-ordinate of point C will be (7,3) .

Answer 2

Answer:

Answer:this is the answer for the given question the coordinates of the point which divides the line segment joining the points 4 - 10 8 5 in the ratio 3:1 internally

Answer:this is the answer for the given question the coordinates of the point which divides the line segment joining the points 4 - 10 8 5 in the ratio 3:1 internallyStep-by-step explanation:

Answer:this is the answer for the given question the coordinates of the point which divides the line segment joining the points 4 - 10 8 5 in the ratio 3:1 internallyStep-by-step explanation:ths is the solution for this question from co-ordinate geometry

Answer:this is the answer for the given question the coordinates of the point which divides the line segment joining the points 4 - 10 8 5 in the ratio 3:1 internallyStep-by-step explanation:ths is the solution for this question from co-ordinate geometry by using section formula we can find the points on the coordinates