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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+y-1)^(2)+(x-y-7)^(2)=100`

B

`(x+y-7)^(2)+(x-y-1)^(2)=100`

C

`(x+y-7)^(2)+(x+y-1)^(2)=100`

D

`(x+y-7)^(2)+(x-y+1)^(2)=100`

Text Solution

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The correct Answer is:
D
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DISHA PUBLICATION-STRAIGHT LINES AND PAIR OF STRAIGHT LINES-EXERCISE 2: CONCEPT APPLICATOR
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