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A

`9x^(2)-8y^(2)+18x-9=0`

B

`9x^(2)-8y^(2)-18x+9=0`

C

`9x^(2)-8y^(2)-18x-9=0`

D

`9x^(2)-8y^(2)+18x+9=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `x=9` be the chord of contact of the given hyperbola with respect to the point `(x_(1),y_(1))`. Then its equation is gien by `T=0`
`e. "xx"_(1)- "yy"_(1)=9`
Comparing this equation to `x=9`, we get
`(x_(1))/1=(y_(1))/0=1impliesx_(1)=1,y_(1)=0`
Hence tangents are drawn from the point `(1,0)`. So their combined equation is `SS_(1)=T^(2)`
`(x^(2)-y^(2)9)-(-B)=(x-9)^(2)`
`implies9x^(2)-8y^(2)-18x+9=0`
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