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Show that the tangent at the point P, with parameter t, on the curve x=ct, y= racct has equation x+t2y = 2ct. This tangent meets the x-axis at the point

Mathematics

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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 tt, on the curve whose parametric equations are x=ctx=ct, y=cty=\frac{c}{t}, where cc is a constant, has equation x+t2y=2ctx+t^2y = 2ct. This tangent meets the x-axis at the point

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