Question

If the point C ( -1, 2) divides the line segment joining A( 2, 5) and B in the ratio 3 : 4. Find the coordinates of B.

Answer 1

The answer is B(-5,-2)

Step-by-step explanation:

hope it will help you

Answer 2

Answer :

The coordinates of B is (-5 , -2)

Given :

• The point C(-1 , 2) divides the line segment joining A(2 , 5) and B.
• C divides the line AB in ratio of 3:4

To Find :

• The coordinates of B

Formula to be used :

If (x , y) divides the line joining the points (x1 , y1) and (x2 , y2) in ratio m:n then x and y are given by :

$\sf \star x = \dfrac{mx_{1} + nx_{2}}{m+n} \: \: and \: \: y = \dfrac{my_{1} + ny_{2}}{m+n}$

Solution :

Let the coordinates of B(p , q)

Using section formula in the given data :

For X-coordinates

$\sf \implies -1 =\dfrac{3\times x + 4\times2}{3+4} \\\\ \sf \implies -1 = \dfrac{3x+8}{7} \\\\ \sf \implies 3x + 8 = -7 \\\\ \sf \implies 3x = -15\\\\ \sf \implies x = -5$

For Y-coordinates

$\sf \implies 2 = \dfrac{3\times y + 4\times 5}{4+3} \\\\ \sf \implies 2 = \dfrac{3y + 20}{7} \\\\ \sf \implies 3y + 20 = 14 \\\\ \sf \implies 3y = 14-20 \\\\ \sf \implies y =\dfrac{-6}{3} \\\\ \sf \implies y = -2$

Thus, the coordinates of B is

(-5 , -2)