Point p partitions the directed line segment from a to b into the ratio 3: 4. will p be closer to a or b? why?

p will be closer to a because it will be the distance from a to b.
p will be closer to a because it will be the distance from a to b.
p will be closer to b because it will be the distance from b to a.
p will be closer to b because it will be the distance from b to a.

option : A

Step-by-step explanation:

We are given that a point P partitions the directed line segment from A to B into the ratio 3:4.

Now we need to find that to which point will point P will lie closer to i.e. either to Point A or to Point B.

Since Point P partition the directed line segment AB in the ratio 3:4 that means the The distance of P from A is some 3x for some arbitrary real number 'x'.

and the distance of P from B is '4x'.

Hence P is closest to A as the distance of P from A is shorter as compared to B.

Hence, option A is correct.

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