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Vertices of a variable triangle are (5,1...

Vertices of a variable triangle are `(5,12),(13 costheta,13 sintheta)` and `(13 sintheta-13 costheta )`, Where `theta in R`. Locus of it's orthocentre is:

A

`(x+y-17)^(2)+(x-y+7)^(2)=(26)^(2)`

B

`(x+y+17)^(2)+(x-y-7)^(2)=(26)^(2)`

C

`(x+y+17)^(2)+(x+y+7)^(2)=(26)^(2)`

D

`(x-y-17)^(2)+(x+y-7)^(2)=(26)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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