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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 equation of line parallel of CP and passing through `(2, 3, 4)` is

A

`(x-2)/(1)=(y-3)/(5), z=4`

B

`(x-2)/(1)=(y-3)/(6), z=4`

C

`(x-2)/(2)=(y-2)/(5), z=3`

D

`(x-2)/(3)=(y-3)/(5), z=3`

Text Solution

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The correct Answer is:
(b)
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