Find the coordinates of p so that p partitions the segment ab in the ratio 1: 3 if a(5,8) and b(−1,4).
a. (3.5, 7)
b. (-6.5, -9)
c. (-4, -6)
d. (-1.5, -1)

Point of partition refers that a point intersect a particular line or curve at a fixed ratio. The coordinates of P so that P partitions the segment AB in the ratio 1:3 if A(5,8) and B(−1,4) is (3.5,7).

The coordinates of the A is (5,8).

The coordinates of the B is (-1,4).

P partitions the segment AB in the ratio 1:3.

Point of partition refers that a point intersect a particular line or curve at a fixed ratio.

When a point intersect a line which has the coordinates and at a ratio l and m then this point can be represent as,

Put the values,

Hence the coordinates of P so that P partitions the segment AB in the ratio 1:3 if A(5,8) and B(−1,4) is (3.5,7).

Learn more about the point of partitions of a line here;

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The answer is A(3.5,7)