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# Parametric Help

Maths and statistics discussion, revision, exam and homework help.

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1. Parametric Help
X = 2/t Y= 4t

a) Show that the tangent to C at the point P with the parameter p has equation
y = -2p^(2)x + 8p

Got to the equation, but b) I don't get.

b) The tangent to C at the point P passes through the point (2,3). Show that P can be one of the two points. Find the co ordinates of each of these two points.

Any help would be appreciated.
2. Re: Parametric Help
Put those values in for x and y and you will have a quadratic in p to solve
3. Re: Parametric Help
(Original post by TenOfThem)
Put those values in for x and y and you will have a quadratic in p to solve
Ok, but what is P ?

I don't understand it. Is a point on the graph where it touches the tangent C?
4. Re: Parametric Help
(Original post by megafobia)

a) Show that the tangent to C at the point P

(Original post by megafobia)
Ok, but what is P ?

I don't understand it. Is a point on the graph where it touches the tangent C?
Yes
5. Re: Parametric Help
(Original post by megafobia)
Ok, but what is P ?

I don't understand it. Is a point on the graph where it touches the tangent C?
The point at which the tangent touches the curve is P.
6. Re: Parametric Help
(Original post by Mr M)
The point at which the tangent touches the curve is P.
The point P is at (1.5 , 0.5)?
7. Re: Parametric Help
(Original post by megafobia)
The point P is at (1.5 , 0.5)?
one possibility for p = 1.5 and the other is 0.5

have you then found (x,y)

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Last updated: April 14, 2012
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