Find the length of the portion of the tangent to the curve , intercepted between coordinate axes.
- The equation of the tangent at the point with parameter
Then find the values of and where this tangent crosses the axes, by putting and in turn, in this equation.
Then use Pythagoras Theorem to find the required length.
So, using , the equation of the tangent whose paramter is is:
Meets the -axis where , and
Can you take it from there?