Question

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.

Answer 1

the first option

Explanation:

Answer 2

option : A

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.