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Cartesian Equation question

Can someone help me with this question? I'm not sure whether there are other steps i need to take or not

Find the values of the parameters and the other co-ordinates of the given points on this curve:
x=at^2 and y=2at where x=9a/4

Ive already rearranged the second equation and made it equal to x, and then subbed it into the first equation to get 4ax=y^2
I then rearranged the 3rd equation to get 4x/9=a and subbed it into 4ax=y^2 which gave me 16x^2=9y^2

Do i need to draw any graphs? is that even right?also unfortunately i can't take any pictures of my working out as my phone is broken
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Original post by Carokelly123
Can someone help me with this question? I'm not sure whether there are other steps i need to take or not

Find the values of the parameters and the other co-ordinates of the given points on this curve:
x=at^2 and y=2at where x=9a/4

Ive already rearranged the second equation and made it equal to x, and then subbed it into the first equation to get 4ax=y^2
I then rearranged the 3rd equation to get 4x/9=a and subbed it into 4ax=y^2 which gave me 16x^2=9y^2

Do i need to draw any graphs? is that even right?also unfortunately i can't take any pictures of my working out as my phone is broken



You're making this too complicated :smile:

If x = at^2 and x = 9a/4, what value(s) can the parameter t take? And then what are the corresponding value(s) of y?
Original post by davros
You're making this too complicated :smile:

If x = at^2 and x = 9a/4, what value(s) can the parameter t take? And then what are the corresponding value(s) of y?


lol did i even get the right answer?

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