Maths parametric equations help pleasee!

helpme111

15

I’m not sure if I shouldn divide the two at sin^2t or not

OP

OP

I have got a but can someone show me the the sketch of curve c and part c

Reply 3

ghostwalker

17

Original post by helpme111

I have got a but can someone show me the the sketch of curve c and part c

You should be able to sketch that yourself - it's simply a quadratic that's inverted (minus sign in front of the brackets) and translated by ...? Have a go.

c) At the points of intersection the two equations are satisfied simultanesouly, so eliminate y between them to get a quadratic whose roots will be the x-coordinates of the point(s) of intersection. Since you want there to be two points you require the resulting quadratic to have two roots. This is a technique you should have encountered before.

Reply 4

helpme111

OP

15

Original post by ghostwalker

You should be able to sketch that yourself - it's simply a quadratic that's inverted (minus sign in front of the brackets) and translated by ...? Have a go.

c) At the points of intersection the two equations are satisfied simultanesouly, so eliminate y between them to get a quadratic whose roots will be the x-coordinates of the point(s) of intersection. Since you want there to be two points you require the resulting quadratic to have two roots. This is a technique you should have encountered before.