Let PN be the ordinate of a point P on the hyperbola `x^2/(97)^2-y^2/(97)^2=1` and the tangent at P meets the transverse axis in T, O is the origin, then `[(ON.OT)/2010]=------------,` where [.] denotes the greatest integer function.

Explanation

To solve the problem step by step, we will follow the given information about the hyperbola and the tangent line.

### Step 1: Understand the hyperbola equation
The hyperbola is given by the equation:
\[ \frac{x^2}{97^2} - \frac{y^2}{97^2} = 1 \]
This can be rewritten as:
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