Circular & Parallel

Geometry Level 2

8 7 9 10

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1 solution

Anant Vishwanath
Mar 16, 2014

let ao and bd intersect at a point l.then if we reconstruct the arms al and bl into a parallelogram,through similarity we can compare the products as follows: Y(AB X BD)=OD X OA. where y is a scale constant. we know that AO X OD=9 and by differentiating the following result with any length parameter 'K' we can conclude that (AB X BD)y=constant hence we know that AB X BD is constant for any given values of AB,BD which is =9 ie 3 X 3;hence we prove that the product is constant for a given circle of given radius.For this it is =9

9

Akshay Kavathiya - 7 years, 2 months ago

i solve it by considering the radius 3 constant for all but i think i am wrong if someone have better explanation plz tell me thanks i am waiting

Qamar Raj - 7 years, 2 months ago

9

rahul chivtekar - 7 years, 2 months ago

yes i was righ

Sarim Yousaf - 7 years, 2 months ago

9

Gajanan Modi - 7 years, 2 months ago

still i need more explanation

Imtiyaz Ali - 7 years, 2 months ago

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ans=9, If we draw triangle ABX and ODX will be similar, DX=Oc=OA=3, AB/OD = AX/OX = BX/DX, We can also prove from similarity that BX=AB=OX=DC, by putting above relation we can calculate AB*BD=9

Swayam Bikash Ghosh - 7 years, 2 months ago

yes i was right

Marjorie Vital - 7 years, 2 months ago

ans=9, If we draw triangle ABX and ODX will be similar, DX=Oc=OA=3, AB/OD = AX/OX = BX/DX, We can also prove from similarity that BX=AB=OX=DC, by putting above relation we can calculate AB*BD=9

Swayam Bikash Ghosh - 7 years, 2 months ago

mình giải nhảm mà cũng đúng hay thật =)))

Trường Đỗ - 7 years, 2 months ago

This was the first question I solved in Brilliant. ^_^

Ashish Menon - 5 years, 1 month ago

Can Anybody explain by different method?

Neeraj Kumar Saini - 7 years, 2 months ago

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