If `x=9` is the chord of contact of the hyperbola `x^2-y^2=9` then the equation of the corresponding pair of tangents is (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`

Options

A. `9x^(2)-8y^(2)+18x-9=0`
B. `9x^(2)-8y^(2)-18x=0`
C. `9x^(2)-8y^(2)-9=0`
D. `9x^(2)-8y^(2)+18x+9=0`

Explanation

To solve the problem, we need to find the equation of the pair of tangents to the hyperbola \(x^2 - y^2 = 9\) given that the chord of contact is \(x = 9\).

### Step-by-Step Solution:

1. **Identify the Hyperbola and Chord of Contact**:
The hyperbola is given by the equation:
\[
x^2 - y^2 = 9
...