Question

find the coordinate of the point divide the line segment joining (2,3)and (-4,0) in 1:2​

Answer 1

Answer:

The coordinate of the point is (0,2)

Step-by-step explanation:

given, two points (2,3) and (-4,0)

the point which divides a line joining two points in the ratio m1:m2 is :::

      (x1,y1) = (m1*x2 + m2*x1) / (m1 +m2)

m1=1    m2=2      (x1,y1)=(2,3)        (x2,y2)=(-4,0)

After substituting, the anser is (0,2)                      

Answer 2

$\rule{400}4$

☆ ANSWER:-

▪︎ Given:-

• A point divides the coordinates
• (2,3)
• (-4,0)
• In ratio 1:2.

▪︎ To Find:-

• The coordinates.

$\rule{400}2$

▪︎ Formula Used:-

• Section Formula:-

$\tt\leadsto a = \frac{m_1x_2+m_2x_1}{m_1+m_2}\\ \\ \tt\leadsto b =\frac{m_1y_2+m_2y_1}{m_1+m_2}$

• Where,

• $\sf m_1\:\:And\:\: m_2$ are the ratio in which C divides the line segment.

• $\sf x_1\:\:And\:\:x_2$ are the x coordinates of two points which join the line segment.

• $\sf y_1 \:\: And \:\: y_2$ are the y coordinates of two points which join the line segment.

• a and b are the coordinates of the point which divides the line segment.

$\rule{400}2$

▪︎ So Here,

• x1 = 2 and x2 = -4.

• y1 = 3 and y2 = 0.

• m1 = 1 and m2 = 2.

• And we have to find a and b.

$\rule{400}2$

• So lets get the answer by section formula:-

$\sf \mapsto \: a = \frac{1( -4) + 2(2)}{1 + 2} \\ \\ \sf \mapsto \: a = \frac{ - 4 + 4}{3} \\ \\ \sf \mapsto \: a = \frac{0}{3} \\ \\ \sf \large\red{\fbox{\mapsto \: a = 0}}$

▪︎ SIMILARLY,

$\sf \mapsto \: b = \frac{1(0) + 2(3)}{3} \\ \\ \sf \mapsto \: b = \cancel\frac{6}{3} \\ \\ \sf \large \red{\fbox{\mapsto \: b = 2}}$

$\rule{400}2$

▪︎ Therefore the coordinates of the point

= (a,b)

= (0,2)

$\rule{400}4$