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P and Q are points on the line joining A...

`P` and `Q` are points on the line joining `A(-2,5)` and `B(3,1)` such that `A P=P Q=Q B` . Then, the distance of the midpoint of `P Q` from the origin is 3 (b) `(sqrt(37))/2` (b) 4 (d) 3.5

A

3

B

`sqrt(37//2)`

C

4

D

`3.5`

Text Solution

Verified by Experts

The correct Answer is:
B
The midpoint of PQ is the midpoint of AB which is `R(1//2,3)`. Therefore,
`OR=sqrt((1)/(4)+9)=sqrt(37)/(2)` .
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