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In a triangle O A B ,\ /A O B=90^0dot If...

In a triangle `O A B ,\ /_A O B=90^0dot` If `P\ a n d\ Q` are points of trisection of `A B` prove that `O P^2+O Q^2=5/9A B^2dot`

A

`(1)/(3)(AB)^(2)`

B

`(5)/(3)(AB)^(2)`

C

`(1)/(9)(AB)^(2)`

D

`(5)/(9)(AB)^(2)`

Text Solution

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The correct Answer is:
D
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