I need help on this second part to this question...

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Q: Sketch the curve with the equation for where . Sketch also the line with the equation for on the same diagram.

The half-line with the equation , , meets the curve at and the line with equation at . If is the pole, find the value of for which .

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I've drawn the graph but can't do the second part to the question. Can someone help please? Thank you in advance.