This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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You're asking for questions 6, 7, and 8 from the image.
It looks like questions 6 i) and 6 ii) were previously solved as 5 iii) and 5 iv) respectively. I'll provide the solutions for 7 and 8 now. If you'd like me to re-explain 6 i) or 6 ii), just let me know!
Question 7: Show that the tangent at the point P, with parameter , on the curve whose parametric equations are , , where is a constant, has equation . This tangent meets the x-axis at the point
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You're asking for questions 6, 7, and 8 from the image. It looks like questions 6 i) and 6 ii) were previously solved as 5 iii) and 5 iv) respectively.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.