Q. 95.0( 5 Votes )

Find the coordina

Answer :

Given: line segment A ( -2,5) and B(3, -5)


To find: the coordinates of the point P which divides the line segment AB into the ratio 2:3


Explanation: Given P divides the line segment AB into 2:3 ratio, let point P be denoted as P(x,y)



So, applying the section formula, we get



In this case, m1 = 2, m2 = 3


And x1 = - 2, x2 = 3, y1 = 5 and y2 = - 5


Substituting the above values in section formula, we get










Hence the P (0, 1)


So, the coordinates of the point P which divides the line segment AB into the ratio 2:3 are 0 and 1.


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