show-tht-the-curve-with-parametric-equcations-x-t-2-y-t-3-9t-intersect-at-the-point-9-0-

Question Number 23104 by lizan 123 last updated on 26/Oct/17

s h o w t h t t h e c u r v e w i t h p a r a m e t r i c e q u c a t i o n s

x = t^{2}, y = t^{3} - 9 t i n t e r s e c t a t t h e p o i n t (9, 0) .

Answered by ajfour last updated on 26/Oct/17

y = t (t^{2} - 9)

\Rightarrow y^{2} = x {(x - 9)}^{2}

d o u b l e r o o t a t x = 9, s o

c u r v e i n t e r s e c t s i t s e l f a t x = 9 .

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