Question

if the point P(6,2)divides the line segment joining A(6,5)and B(4,y)in the ratio 3:1,then find the value of y​

Answer 1

Answer:

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Answer 2

SOLUTION :-

Given that, the point P( 6 , 2) divides the line segment joining A(6 , 5) and B(4 , y) in the ration 3 : 1 .

Using section formula we can find the value of y.

  $\boxed{\bf y = \dfrac{my_2+ny_1}{m+n}}$

Here,

y = 2

$\sf y_1$ = 5

$\sf y_2$ = y

m = 3

n = 1

$\longrightarrow\sf 2=\dfrac{(3\times y)+(1\times 5) }{3+1}\\\\\longrightarrow 2=\dfrac{3y+5}{4}\\\\\longrightarrow 3y+5=8\\\\\longrightarrow 3y = 3 \\\\\longrightarrow \bf y = 1$

Value of y = 1