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As pure1 math

OAB is a triangle, Qis the point of trisection of AB closer to B and on OQ such thaPOQAP produced meets OB at R. Express AP in terms of a and b, and hence find the number k such that OA +kAP does not depend ona Use your answer to express r in terms of b, and interpret this geometrically Use a similar method to identify the point S where BP produced meets OA
Reply 1
20190403_145708.jpg

Please how to Express r in terms of b
1554294684462926823511768679559.jpg
This is my working
(edited 5 years ago)
Reply 2
Looks good so far, just sub K back into the OA+KAP expression to get
r = OR = ...
Original post by Alyaaabbas
20190403_145708.jpg

Please how to Express r in terms of b
1554294684462926823511768679559.jpg
This is my working
(edited 5 years ago)
Reply 3
Yah it will give me right answer but I d
Original post by mqb2766
Looks good so far, just sub K back into the OA+KAP expression to get
r = OR = ...

Yes it gave me the correct answer but I don't understand why. What is the relationship between r and OA+KAp
Reply 4
You found the value of K such that the expression only depends on b, i.e. where the b vector intersects with the line. It must be r.
Original post by Alyaaabbas
Yah it will give me right answer but I d

Yes it gave me the correct answer but I don't understand why. What is the relationship between r and OA+KAp

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