What is the solution of coordinate geometry of class 10. Please give me best and easy way to solve exercise 7.2 questions easily its very important question of this chapter . Find the coordinates of the points of trisection of the line segment joining (4, -1) and (-2, -3).

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# Find the coordinates of the points of trisection of the line segment joining (4, -1) and (-2, -3).Q.2

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Let P (x

_{1}, y_{1}) and Q (x_{2}, y2) are the points of trisection of the line segment joining the given points i.e., AP = PQ = QBTherefore, point P divides AB internally in the ratio 1:2.

x

_{1 }= (1×(-2) + 2×4)/3 = (-2 + 8)/3 = 6/3 = 2y

_{1}= (1×(-3) + 2×(-1))/(1 + 2) = (-3 – 2)/3 = -5/3Therefore: P (x

_{1}, y_{1}) = P(2, -5/3)Point Q divides AB internally in the ratio 2:1.

x

_{2}= (2×(-2) + 1×4)/(2 + 1) = (-4 + 4)/3 = 0y

_{2}= (2×(-3) + 1×(-1))/(2 + 1) = (-6 – 1)/3 = -7/3The coordinates of the point Q is (0, -7/3)