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Vertices of a variable triangle are (3, ...

Vertices of a variable triangle are `(3, 4), (5 cos theta, 5 sin theta)` and `(5 sin theta, -5 cos theta)`, where `theta in R`. Locus of its orthocentre is

A

`x^(2)+y^(2)+6x+8y-25=0`

B

`x^(2)+y^(2)-6x+8y-25=0`

C

`x^(2)+y^(2)+6x-8y-25=0`

D

`x^(2)+y^(2)-6x-8y-25=0`

Text Solution

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The correct Answer is:
D
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