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Two rods of lengths aa n db slide along ...

Two rods of lengths `aa n db` slide along the `x-` and y-axis , respectively, in such a manner that their ends are concyclic. Find the locus of the center of the circle passing through the endpoints.

A

`4(x^(2)+y^(2))=a^(2)+b^(2)`

B

`4(x^(2)+y^(2))=a^(2)-b^(2)`

C

`4(x^(2)-y^(2))=a^(2)-b^(2)`

D

`xy=ab`

Text Solution

Verified by Experts

The correct Answer is:
C
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