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In a parallelogram OABC with position ve...

In a parallelogram OABC with position vectors of A is `3hat(i)+4hat(j) and C is 4hat(i)+3hat(j)` with reference to O as origin. A point E is taken on the side BC which divides it in the the ratio of `2:1`. Also, the line segment AE intersects the line bisecting the `angleAOC` internally at P. CP when extended meets AB at F.
Q. The position vector of P is

A

`hat(i)+hat(j)`

B

`(2)/(3)(hat(i)+hat(j))`

C

`(13)/(3)(hat(i)+hat(j))`

D

`(21)/(5)(hat(i)+hat(j))`

Text Solution

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The correct Answer is:
(d)
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