The equation of the chord of contact of tangents drawn from a point `(2,-1)` to the hyperbola `16x^(2)-9y^(2)=144`, is

Options

A. `9x+32y=144`
B. `32x-9y=144`
C. `32x+9y=144`
D. none of these

Explanation

To find the equation of the chord of contact of tangents drawn from the point (2, -1) to the hyperbola given by the equation \(16x^2 - 9y^2 = 144\), we will follow these steps:

### Step 1: Convert the hyperbola equation to standard form
The given hyperbola equation is:
\[ 16x^2 - 9y^2 = 144 \]
To convert it to standard form, we divide the entire equation by 144:
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