Answer :

We have to find the coordinates of the point P.

x-coordinate of P = (n_{1}x_{2} + n_{2}x_{1} )/n_{1} + n_{2}

where n_{1} : n_{2} is the ratio in which line is to be divided and,

x_{1} and x_{2} 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 = (n_{1}y_{2} + n_{2}y_{1} )/n_{1} + n_{2}

where n_{1} : n_{2} is the ratio in which line is to be divided and,

y_{1} and y_{2} 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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