Math, asked by heliums, 1 year ago

Find the ratio in which the point P(x,2) divides the line segment joining the points A(12,5) and B(4,-3) . Also , find the value of x.

Answers

Answered by Anonymous
72
hope it helps you

Rahul Aryan
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Answered by Panzer786
38
Let the required ratio be K:1.

Then, By section formula,the Coordinates of P are :

P ( 4K + 12/K + 1 , -3K + 5 / K + 1 )


But , this points is given as P ( x , 2).

Therefore,


-3K + 5 / K + 1 = 2


-3K + 5 = 2K + 2


5K = 3


K = 3/5.


So, the required ratio is 3:5.


Putting K = 3/5 in P , we get


X = ( 4 × 3/5 + 12 / ( 3/5 + 1 ) = 72/8 = 9.
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