Qualification > Math
Help in maths p1!
student:
I didnt do p1, but..
y2=4x-x2 is a circle, isnt it?
With 0=<x=<4.
And y=kx-2 would pass through this circle at k>0 to the infinity.
tmisterr:
--- Quote from: past-papers on April 20, 2010, 06:57:15 pm ---simultaneous equations:
--- End quote ---
You probably are missing something but if not continuing from past papers equation
k2x2-x2-4kx-4x+4=0 so as you know if it meets the curve it must either have a repeated root (b2=4ac or it b2>4ac
so (-4k-4)2>or=4*(k2+1)*4
solving this equation gives you k>or=0.
nid404:
yup that what i did and concluded there is something missing :-\
immortal:
y=kx-2 meets da curve y2=4x-x2, so it has a root.
(kx-2)2=4x-x2
k2x2-4kx+4=4x-x2
k2x2+x2-4kx-4x+4=0
(k2+1)x2-(4k+4)x+4=0
as da eqn haz 1 root b2-4ac=0
(4k+4)2-(4*(k2+1)*4)=0
16k2+32k+16-(16k2+16)=0
but i get 32k=0 which is probably wrong!
any ideas Guyz ???
student:
--- Quote ---Find the values of k for which the line y=kx-2 meets da curve y2=4x-x2
--- End quote ---
There's not one root.
And y=kx-2 does meet y2=4x-x2 at any values of k>0 or equal to 0..
Otherwise there might be some special 'p1 method' for it?
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