Q. 44.8( 8 Votes )

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Answer :


We have to find the coordinates of the point P.


x-coordinate of P = (n1x2 + n2x1 )/n1 + n2


where n1 : n2 is the ratio in which line is to be divided and,
x1 and x2 are the x- coordinates of the points, A and B respectively.


x-coordinate of P = ( 2 × 5 + 3 × 2)/ 2 + 3


= 16/5


Similarly y-coordinate of P = (n1y2 + n2y1 )/n1 + n2


where n1 : n2 is the ratio in which line is to be divided and,
y1 and y2 are the x- coordinates of the points, A and B respectively.


y-coordinate of P = ( 2 × 2 + 3 × -5 )/ 2 + 3


= -11/5


Coordinate of P =(16/5 , -11/5)


It lies in the fourth quadrant.


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