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?

A

P will be closer to A because it

distance from A to B.

P will be closer to A because it will

the distance from A to B.

O 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.

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Answer 1

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?

A number line goes from point A to point B. A line is drawn from point A to point B.

Right Answer A.) P will be closer to A because it will be Three-sevenths the distance from A to B.

Wrong Answer B.) P will be closer to A because it will be Four-sevenths the distance from A to B.

Wrong Answer C.) P will be closer to B because it will be Three-sevenths the distance from B to A.

Wrong Answer D.) P will be closer to B because it will be Four-sevenths the distance from B to A.

Explanation:

Answer 2

A.

Explanation:

Given that point P partitions a directed line segment from A to B into the ratio 3:4, we are to determine how close P is to either A or B.

To do this, we take an example.

Let the length of line segment AB be 14 Units.

Since P divides AB in the ratio 3:4

• Length of AP
  `=(3)/(7)X14=6 \:units`

• Length of PB
  `=(4)/(7)X14=8 \:units`

Therefore, from the above, we can conclude that P will be closer to A as its distance from A is shorter than its distance from B.

The correct option is A.